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New Trends in Differential Geometry and Geometric Analysis

This special issue belongs to the section “B: Geometry and Topology“.

Special Issue Information

Dear Colleagues,

This Special Issue aims to highlight recent developments and directions in differential geometry and geometric analysis, two fields that lie at the heart of many significant advances in mathematics and its applications. These areas have seen remarkable progress through the interplay of geometric intuition and analytical techniques, yielding deep insights into the structure and behavior of spaces and mappings.

We welcome contributions on a wide range of topics, including differential geometry of curves, surfaces and manifolds, Riemannian and complex geometry, spaces with non-symmetric affine connection, Minkowski spaces, dual spaces, shape and energy of geometric objects, geometric knot theory, geometric flows, geometric partial differential equations, variational methods in geometry, and applications to related fields such as topology and mathematical physics.

All related topics within the broader scope of differential geometry and geometric analysis are welcome for this Special Issue.

Dr. Marija S. Najdanović
Prof. Dr. Ljubica Velimirovic
Guest Editors

Manuscript Submission Information

Manuscripts should be submitted online at www.mdpi.com by registering and logging in to this website. Once you are registered, click here to go to the submission form. Manuscripts can be submitted until the deadline. All submissions that pass pre-check are peer-reviewed. Accepted papers will be published continuously in the journal (as soon as accepted) and will be listed together on the special issue website. Research articles, review articles as well as short communications are invited. For planned papers, a title and short abstract (about 250 words) can be sent to the Editorial Office for assessment.

Submitted manuscripts should not have been published previously, nor be under consideration for publication elsewhere (except conference proceedings papers). All manuscripts are thoroughly refereed through a single-blind peer-review process. A guide for authors and other relevant information for submission of manuscripts is available on the Instructions for Authors page. Mathematics is an international peer-reviewed open access semimonthly journal published by MDPI.

Please visit the Instructions for Authors page before submitting a manuscript. The Article Processing Charge (APC) for publication in this open access journal is 2600 CHF (Swiss Francs). Submitted papers should be well formatted and use good English. Authors may use MDPI's English editing service prior to publication or during author revisions.

Keywords

  • differential geometry
  • geometric analysis
  • infinitesimal deformations
  • curves and surfaces
  • manifolds
  • knots
  • shape and energy of geometric objects
  • Riemannian geometry and generalizations
  • minkowski spaces
  • dual spaces
  • geometric flows
  • geometric partial differential equations
  • minimal surfaces
  • variational methods
  • global analysis.

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Mathematics - ISSN 2227-7390