Recent Advances in Differential Geometry
A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "B: Geometry and Topology".
Deadline for manuscript submissions: 30 April 2026 | Viewed by 55
Special Issue Editor
2. Department of Chemistry, University of Massachusetts Lowell, Lowell, MA 01854, USA
3. Biophysics Division, New Vision University, Tbilisi, Georgia
Interests: theoretical physics; differential geometry; theoretical biophysics; calculus for moving surfaces; pattern formation; surface dynamics
Special Issue Information
Dear Colleagues,
Since Gauss introduced the fundamentals of differential geometry, this concept has been increasingly applied in physics. Riemann's developments in differential geometry overshadowed the idea of a parametric approach. As a result, describing motion through parametric time was no longer appealing. However, as the field evolved, nature increasingly necessitated advancements in differential geometry, where it was not sufficient to only describe stationary geometry, but it also became necessary to develop a theory for moving shapes. Consequently, initiated by Hadamard, the idea of creating calculus for moving surfaces emerged around the same time as the birth of general relativity (GR). Nonetheless, the rapid progress of GR overshadowed CMS, causing it to almost be forgotten, due partly to waning interest and to the incompleteness of CMS compared to the elegant Riemannian differential geometry. However, recent developments have enhanced CMS and demonstrated its value in advancing differential geometry.
In this Special Issue, we aim to present a collection of papers that explore the differential geometry of moving shapes from both mathematical and physical perspectives.
Prof. Dr. David V. Svintradze
Guest Editor
Manuscript Submission Information
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Keywords
- moving surfaces
- differential geometry
- variations on manifolds
- calculus of variations
- calculus
- global and local geometry
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