DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS

Scope & Guideline

Charting New Territories in Mathematical Applications

Introduction

Welcome to the DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS information hub, where our guidelines provide a wealth of knowledge about the journal’s focus and academic contributions. This page includes an extensive look at the aims and scope of DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS, highlighting trending and emerging areas of study. We also examine declining topics to offer insight into academic interest shifts. Our curated list of highly cited topics and recent publications is part of our effort to guide scholars, using these guidelines to stay ahead in their research endeavors.
LanguageEnglish
ISSN0926-2245
PublisherELSEVIER
Support Open AccessNo
CountryNetherlands
TypeJournal
Convergefrom 1991 to 2024
AbbreviationDIFFER GEOM APPL / Differ. Geom. Appl.
Frequency6 issues/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressRADARWEG 29, 1043 NX AMSTERDAM, NETHERLANDS

Aims and Scopes

The journal 'Differential Geometry and Its Applications' focuses on the advancement and dissemination of research in the fields of differential geometry, topology, and their applications to various branches of mathematics and physics. It encompasses a wide range of topics that explore the geometric structures and properties of manifolds and other mathematical spaces.
  1. Differential Geometry of Manifolds:
    Research in this area includes the study of Riemannian, Finsler, and pseudo-Riemannian manifolds, focusing on curvature properties, geodesics, and the interplay between geometry and topology.
  2. Geometric Analysis:
    This encompasses techniques and theories that combine differential geometry with analysis, particularly in studying partial differential equations on manifolds and their geometric implications.
  3. Topology and Geometric Structures:
    The journal publishes work on various topological aspects of manifolds, including homotopy theory, homology, and the study of geometric structures such as symplectic and contact structures.
  4. Applications in Physics and Other Disciplines:
    It includes applications of differential geometry in theoretical physics, particularly in general relativity, gauge theories, and string theory, as well as interdisciplinary applications in fields such as robotics and computer graphics.
  5. Algebraic and Complex Geometry:
    Research involving the interaction of differential geometry with algebraic geometry, particularly in the context of complex manifolds and their curvature properties.
The journal has experienced a dynamic evolution in its thematic focus, with several emerging trends gaining traction in recent publications. This section highlights these trending themes, which reflect the current interests and future directions within the field of differential geometry.
  1. Geometric Analysis on Manifolds:
    An increasing number of articles focus on the interplay between differential geometry and analysis, particularly in the study of geometric flows, eigenvalue problems, and variational principles.
  2. Higher-Dimensional Geometry and Topology:
    Research exploring higher-dimensional manifolds, including exotic structures and their topological implications, has gained prominence, reflecting a broader interest in complex geometrical constructs.
  3. Applications to Mathematical Physics:
    There is a notable rise in papers that apply differential geometric concepts to problems in mathematical physics, especially in areas such as general relativity and quantum field theory.
  4. Advanced Finsler and Non-Riemannian Geometries:
    Emerging interest in generalized Finsler geometries and non-Riemannian structures indicates a shift towards exploring more complex geometric frameworks beyond traditional boundaries.
  5. Geometric Structures in Control Theory and Robotics:
    The application of differential geometry in control theory, particularly in the context of robotic motion planning and dynamical systems, is increasingly represented in the journal's publications.

Declining or Waning

While the journal continues to thrive in its core areas, certain themes have shown a noticeable decline in frequency or prominence in recent years. This section identifies those waning scopes, reflecting shifts in research interests and methodologies.
  1. Classical Finsler Geometry:
    Although Finsler geometry remains a topic of interest, the frequency of papers focusing solely on classical Finsler structures has decreased, possibly due to a shift towards more complex and generalized frameworks.
  2. Basic Curvature Invariants:
    Research specifically centered on foundational curvature invariants and their classifications has seen a decline, overshadowed by more innovative approaches and applications in geometric analysis.
  3. Elementary Differential Geometry:
    Papers focusing on the basic principles and introductory aspects of differential geometry have become less common, as the field has advanced towards more sophisticated and specialized topics.
  4. Local Symmetries and Actions:
    There is a waning interest in local symmetries and their actions on manifolds, as researchers increasingly explore global properties and complex interactions rather than local behaviors.

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