JOURNAL OF GEOMETRIC ANALYSIS
Scope & Guideline
Fostering Excellence in Mathematical Exploration
Introduction
Aims and Scopes
- Differential Geometry:
The journal emphasizes research in differential geometry, exploring topics such as curvature, metrics, and geometric flows. It investigates how these geometric properties interact with analytical methods, leading to new insights and results. - Partial Differential Equations (PDEs):
A significant focus is placed on the study of PDEs arising from geometric contexts, including elliptic and parabolic equations. The journal publishes papers that analyze existence, uniqueness, and regularity of solutions to these equations, often linking back to geometric structures. - Geometric Measure Theory:
Research on geometric measure theory is a core area, where the journal publishes findings related to the measure-theoretic aspects of geometry, such as minimal surfaces, area-minimizing properties, and variational problems. - Applications of Geometric Analysis:
The journal also highlights the applications of geometric analysis to various fields, including mathematical physics, image processing, and materials science. Papers often explore how geometric methods can solve real-world problems. - Topology and Algebraic Geometry:
Research intersecting topology, algebraic geometry, and geometric analysis is also featured. This includes studying the topological properties of manifolds and their geometric structures.
Trending and Emerging
- Nonlinear Analysis and Geometric PDEs:
There is an increasing emphasis on nonlinear analysis, particularly in the context of geometric partial differential equations. This includes studying complex interactions between geometry and nonlinear phenomena, which has become a vital area of research. - Geometric Flows and Mean Curvature Flow:
Research on geometric flows, especially mean curvature flow and its variations, is trending upwards. This reflects a broader interest in the dynamic evolution of geometric structures and their implications in both pure and applied mathematics. - Metric Geometry and Geometric Analysis:
The relationship between metric geometry and geometric analysis is gaining traction. Papers exploring the properties of spaces with various metric structures, their geometric characteristics, and analytical implications are increasingly common. - Applications to Mathematical Physics:
The journal is seeing a rise in papers that explore the applications of geometric analysis to mathematical physics, particularly in areas such as general relativity and quantum field theory. This trend highlights the relevance of geometric methods in understanding physical phenomena. - Geometric Measure Theory and Optimal Transport:
Emerging research in geometric measure theory, particularly in relation to optimal transport and its applications, is becoming more prominent. This trend reflects the growing interdisciplinary nature of geometric analysis, linking it with other fields like economics and data science.
Declining or Waning
- Classical Riemannian Geometry:
Research specifically focused on classical Riemannian geometry appears to be waning, with fewer papers dedicated solely to traditional topics such as geodesics, curvature tensors, and connections. The shift may be towards more dynamic and applied aspects of geometry. - Singularities in Geometric Flows:
The exploration of singularities in geometric flows has decreased, possibly due to the maturation of the field and the establishment of robust techniques to handle such problems. This area may have become more specialized, leading to fewer general publications. - Low-Dimensional Topology:
While still present, research related to low-dimensional topology, particularly in relation to geometric analysis, has seen a decline. There may be a growing focus on higher-dimensional manifolds and their properties.
Similar Journals
JOURNAL OF FUNCTIONAL ANALYSIS
Advancing the Boundaries of Functional AnalysisThe JOURNAL OF FUNCTIONAL ANALYSIS, published by Academic Press Inc Elsevier Science, stands as a premier platform in the field of analysis, encompassing a broad spectrum of topics pertinent to functional analysis and its applications. With an impressive impact factor and categorized in Q1 for the year 2023, it ranks as one of the top journals in Mathematics (Analysis), placing it in the 77th percentile among its peers. This journal, founded in 1967, continues to provide researchers, professionals, and students with cutting-edge insights, rigorous publications, and a vibrant forum for scholarly discourse. The journal remains committed to advancing knowledge in the discipline and fostering an environment that encourages innovation and collaboration. Although it does not offer open access options, its high standards for publication ensure that each issue is replete with high-quality research that significantly contributes to the field. The journal's comprehensive coverage aligns well with the evolving landscape of functional analysis, making it an indispensable resource for anyone seeking to deepen their understanding and engage with current trends in this essential area of mathematics.
GEOMETRIAE DEDICATA
Cultivating Knowledge in the Realm of GeometryGEOMETRIAE DEDICATA is a distinguished journal published by Springer, focusing on the intricate and dynamic field of geometry and topology. With an ISSN of 0046-5755 and an E-ISSN of 1572-9168, this journal has been a vital resource since its inception in 1972, continuing to provide insightful research up until 2024. Recognized for its scholarly contributions, it holds a Q3 category ranking in the field as of 2023, showcasing its commitment to advancing theoretical and applied geometrical investigations. Located in the Netherlands, specifically at VAN GODEWIJCKSTRAAT 30, 3311 GZ DORDRECHT, the journal offers its audience a platform to explore various aspects of geometry, encouraging interdisciplinary collaboration and knowledge dissemination. Although currently not an open-access journal, it is widely cited and respected in the academic community, making it an essential publication for researchers, students, and professionals devoted to expanding the boundaries of geometric science.
DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS
Integrating Theory with Practice in Differential GeometryDIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, published by Elsevier, is a premier academic journal primarily focused on the intricacies of differential geometry and its wide-ranging applications in various fields, including mathematics and theoretical physics. Established in 1991 and currently exploring relevant advancements through 2024, this journal serves as a vital platform for disseminating high-quality research that integrates theory and computational methodologies.With an ISSN of 0926-2245 and an E-ISSN of 1872-6984, it holds a significant position within the mathematical community, evidenced by its current quartile ranking of Q3 in major categories such as Analysis, Computational Theory and Mathematics, and Geometry and Topology. While open access options are not available, the journal's contributions are pivotal for researchers seeking to enrich their understanding of complex geometrical frameworks and their practical applications. As the landscape of differential geometry evolves, this journal stands out as a crucial resource for fostering innovation and collaboration among scholars and practitioners alike.
COMMUNICATIONS IN ANALYSIS AND GEOMETRY
Unveiling New Dimensions in Analysis and GeometryCOMMUNICATIONS IN ANALYSIS AND GEOMETRY, published by INT PRESS BOSTON, INC, is a prestigious journal dedicated to advancing the fields of analysis, geometry, and statistics. With an impressive Q1 ranking in these categories for 2023, the journal stands out as a leading platform for cutting-edge research and scholarly discourse. Established in 1996, the journal has been instrumental in fostering a vibrant academic community that engages with both theoretical and applied aspects of mathematics. Despite not being an open-access journal, it continues to attract a wide readership owing to its rigorous peer-review process and high-impact publications. The journal's influence is further underlined by its respectable Scopus rankings, specifically in Geometry and Topology, where it ranks 40th out of 106, highlighting its significance in the scholarly landscape. Researchers, professionals, and students alike will find COMMUNICATIONS IN ANALYSIS AND GEOMETRY to be an invaluable resource for the latest findings and developments in these interconnected mathematical disciplines.
Space
Exploring the Nexus of Art and ArchitectureSpace is a distinguished journal within the realms of Visual Arts and Architecture, published by the reputable SPACE MAGAZINE. Although its coverage in major indexing databases such as Scopus has ceased since 2016, the journal played a significant role from its inception in 2008, contributing valuable insights during its publication years. Featuring a broad interdisciplinary approach, Space explored the intersections of artistic and architectural expression, offering a platform for researchers and practitioners to exchange innovative ideas. The journal's impact within the field of Arts and Humanities is reflected in its Scopus rankings, where it holds significant positions, albeit with lower percentiles, in both relevant categories. Although it currently does not offer open access, the journal remains a reference point for scholars interested in the evolving dynamics of space in the arts. As such, Space continues to be an essential resource for individuals who strive to understand and explore the relationship between human creativity and spatial design.
Journal of Topology and Analysis
Advancing the Frontiers of Topology and AnalysisJournal of Topology and Analysis, published by WORLD SCIENTIFIC PUBL CO PTE LTD, is a distinguished peer-reviewed journal that focuses on advanced topics in mathematics, specifically within the fields of topology and analysis. Established in 2009 and running through 2024, the journal is based in Singapore and strives to present cutting-edge research that contributes to the mathematical community's understanding of geometric structures and analytical theories. Holding a respected position with a Q2 ranking in Analysis and a Q3 ranking in Geometry and Topology according to the 2023 category quartiles, the journal is indexed in Scopus, where it ranks #49 in Geometry and Topology and #118 in Analysis, showcasing its significance in the scholarly landscape. The Journal of Topology and Analysis aims to foster interdisciplinary collaboration by providing a platform for researchers, professionals, and students to share innovative findings and insights. Although it does not currently offer open access, its contributions are vital for advancing knowledge in these mathematical domains.
TOHOKU MATHEMATICAL JOURNAL
Championing Excellence in Peer-Reviewed MathematicsTOHOKU MATHEMATICAL JOURNAL, published by TOHOKU UNIVERSITY, is a distinguished academic journal committed to the advancement of mathematical research. Established in 1949, the journal has sustained a long-standing tradition of disseminating high-quality, peer-reviewed articles that contribute significantly to various branches of mathematics. With its scope encompassing a broad range of topics within the field, TOHOKU MATHEMATICAL JOURNAL aims to foster intellectual exchange and innovation among mathematicians worldwide. Though currently not an open-access publication, it is indexed in Scopus, holding a respectable Q2 ranking in the miscellaneous mathematics category as of 2023, which signifies its relevance and influence in the academic community. Researchers, professionals, and students alike will find valuable insights and contemporary developments that reflect the journal's dedication to excellence in mathematical scholarship.
JOURNAL OF DIFFERENTIAL GEOMETRY
Connecting theory and application in differential geometry.JOURNAL OF DIFFERENTIAL GEOMETRY, a premier publication by INT PRESS BOSTON, INC, has established itself as a leading forum for the dissemination of high-quality research in the fields of differential geometry, algebra, and analysis. With an impressive history that spans from 1967 to 2024, this journal is recognized for its rigorous peer-reviewed articles, contributing significantly to the advancement of mathematical theories and innovative approaches. Notably, the journal boasts a Q1 ranking in key categories such as Algebra and Number Theory, Geometry and Topology, and Analysis, reflecting its pivotal role within the mathematics community. Its Scopus rankings reinforce its reputation, placing it among the top-tier journals in its respective fields, with a 97th percentile ranking in Algebra and Number Theory, further emphasizing its influence. While the journal does not offer Open Access options, it remains a critical resource for researchers, professionals, and students aiming to stay at the forefront of developments in differential geometry and related domains. Engage with groundbreaking research and explore new methodologies that are shaping the future of mathematics.
Rendiconti del Circolo Matematico di Palermo
Advancing Knowledge in the Heart of Mathematics.Rendiconti del Circolo Matematico di Palermo, published by SPRINGER-VERLAG ITALIA SRL, is a revered journal in the field of mathematics, emphasizing the cultivation and dissemination of mathematical knowledge since its inception in 1887. With its ISSN 0009-725X and E-ISSN 1973-4409, this esteemed publication has continued to thrive, showcasing innovative research, comprehensive reviews, and thoughtful discussions from diverse areas in mathematics, particularly in its Q2 ranking within the miscellaneous mathematics category. Its historical significance is underscored by its convergence of publications across numerous years, including its notable periods from 1887 to 1916, 1919 to 1938, and beyond, effectively capturing the evolution of mathematical thought. Though not open access, the journal remains an essential resource for researchers, professionals, and students aiming to stay updated with the latest advancements and methodologies in the ever-evolving landscape of mathematics. With its Scopus rank placing it in the top 25th percentile, Rendiconti del Circolo Matematico di Palermo continues to be a cornerstone for scholarly dialogue and development in its domain.
Tamkang Journal of Mathematics
Bridging Theory and Application in the World of MathematicsTamkang Journal of Mathematics, published by TAMKANG UNIVERSITY, serves as a vital platform for researchers and professionals in the fields of applied mathematics, general mathematics, and materials science. With an ISSN of 0049-2930 and an E-ISSN of 2073-9826, this journal has established itself within the academic community, particularly noted for its contributions from Taiwan. Although categorized as Q4 in Applied Mathematics and Q3 in multiple related fields according to the 2023 ranking, it maintains a solid reputation for disseminating significant research findings and innovative methodologies. Researchers can explore an array of topics within its pages, making it an excellent resource for enhancing mathematical knowledge and applications. As it converges from 2005 to 2024, the journal invites academics, professionals, and students to engage with its content and contribute to the ongoing dialogue in mathematics and its interdisciplinary applications.