Analysis and Geometry in Metric Spaces

Scope & Guideline

Exploring innovative dimensions in metric spaces.

Introduction

Welcome to the Analysis and Geometry in Metric Spaces 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 Analysis and Geometry in Metric Spaces, 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
ISSN2299-3274
PublisherDE GRUYTER POLAND SP Z O O
Support Open AccessYes
CountryPoland
TypeJournal
Convergefrom 2013 to 2024
AbbreviationANAL GEOM METR SPACE / Anal. Geom. Metr. Spaces
Frequency1 issue/year
Time To First Decision-
Time To Acceptance-
Acceptance Rate-
Home Page-
AddressBOGUMILA ZUGA 32A STR, 01-811 WARSAW, MAZOVIA, POLAND

Aims and Scopes

The journal 'Analysis and Geometry in Metric Spaces' primarily focuses on the interplay between analysis and geometry within the framework of metric spaces. It aims to publish high-quality research that contributes to the understanding of geometric structures and analytical methods in various mathematical contexts.
  1. Metric Geometry:
    The journal emphasizes the study of geometric properties and structures arising in metric spaces, including concepts such as curvature, geodesics, and dimensionality.
  2. Functional Analysis:
    It covers the application of functional analysis techniques to problems in metric spaces, exploring topics such as Sobolev spaces and Lipschitz continuity.
  3. Partial Differential Equations (PDEs):
    The journal addresses the analysis of PDEs within metric spaces, focusing on Liouville theorems and qualitative properties of solutions.
  4. Measure Theory and Integration:
    Research on measure-theoretic aspects in metric spaces, including rectifiability and properties of measures, is a key focus area.
  5. Variational Methods and Optimization:
    The journal investigates variational problems and optimization techniques in the context of metric spaces, including minimization problems and monotone inclusions.
  6. Geometric Analysis:
    It integrates geometric methods with analytical techniques, particularly in the study of Riemannian and Finsler manifolds.
Recent publications in 'Analysis and Geometry in Metric Spaces' indicate a shift towards innovative themes and methodologies that reflect current trends in mathematical research. This section outlines these emerging areas.
  1. Anisotropic and Non-Homogeneous Spaces:
    There is a growing interest in the analysis of anisotropic spaces and non-homogeneous structures, which reflects a broader trend towards understanding complex geometric configurations.
  2. Geometric Analysis of Heat Kernels:
    Research on heat kernels, particularly in relation to various geometric structures, has gained prominence, indicating an increasing focus on the interplay between analysis and geometry.
  3. Sobolev Spaces and Regularity Theory:
    The exploration of Sobolev spaces in metric contexts, particularly with respect to regularity and geometric properties, is becoming a significant theme.
  4. Metric Measure Spaces and Curvature Bounds:
    There is a notable trend towards studying metric measure spaces with curvature conditions, which has implications for both geometric analysis and PDEs.
  5. Applications of Gromov-Hausdorff Convergence:
    The application of Gromov-Hausdorff convergence in various mathematical problems is increasingly popular, highlighting its importance in understanding the structure of metric spaces.

Declining or Waning

As the field evolves, certain themes within the journal's scope appear to be losing prominence or are becoming less frequently addressed in recent publications. This section highlights those waning areas.
  1. Classical Differential Geometry:
    While still relevant, traditional topics in differential geometry are less frequently represented in recent issues, indicating a shift towards more modern approaches and applications in metric spaces.
  2. Static Analysis Techniques:
    Older techniques in static analysis that do not incorporate metric space methodologies are appearing less often, as the focus has shifted towards dynamic and more complex analyses.
  3. Low-Dimensional Topology:
    Research specifically targeting low-dimensional topology seems to be declining, with fewer papers addressing these aspects in the context of metric spaces.

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