Search for Articles:
Title / Keyword
Author / Affiliation / Email
Journal
Article Type
 
 
Advanced Search
 
Section
Special Issue
Volume
Issue
Number
Page
 
3.5
2.4
Journals
Mathematics
Special Issues
Differential Geometry, Geometric Analysis and Their Related Applications
share announcement

Differential Geometry, Geometric Analysis and Their Related Applications

A special issue of Mathematics (ISSN 2227-7390). This special issue belongs to the section "Algebra, Geometry and Topology".

Deadline for manuscript submissions: closed (31 May 2024) | Viewed by 797

Special Issue Editor

Prof. Dr. Mića S. Stanković

E-Mail Website
Guest Editor
Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, Niš, Serbia
Interests: differential geometry; geodesic mappings; infinitesimal deformations of curves and surfaces in R3; tensor calculus; spaces with non symmetric affine connection; generalized Riemannian spaces; computer graphics

Special Issue Information

Dear Colleagues,

As an important branch of mathematics, differential geometry provides a mathematical framework for understanding the geometric structures and properties of spaces. Differential geometry encompasses a wide range of topics and has applications in various areas of mathematics, physics, engineering, computer graphics, etc. This Special Issue is devoted to novel research on differential geometry, geometric analysis, and their wide-ranging applications. The topics covered in this Special Issue include, but are not limited to:

  1. Differential Geometry: Riemannian geometry, manifolds, Finsler geometry, symplectic geometry, contact geometry, complex and Kähler geometry, geodesic mappings, Minkowski spaces, almost geodesic mappings, etc.
  2. Geometric Analysis: minimal surfaces, geometric flows, geometric measure theory, geometric functional theory, geometric inequalities, such as the isoperimetric inequality, Sobolev inequalities, and the Minkowski inequality.
  3. Geometric Methods in Image Processing and Computer Vision: including topics such as geometric transformations, shape analysis, geometric modeling, and geometric methods for image registration and segmentation.
  4. Applications in Engineering and Applied Sciences.

All the related topics on the areas of differential geometry and geometric analysis will be of interest to this Special Issue.

Prof. Dr. Mića S. Stanković
Guest Editor

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 100 words) can be sent to the Editorial Office for announcement on this website.

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
  • manifolds
  • Finsler geometry
  • symplectic geometry
  • contact geometry
  • complex and Kähler geometry
  • geodesic mappings
  • Minkowski spaces
  • geometric inequalities
  • geometric models
  • infinitesimal deformations of curves and surfaces
  • tensor calculus
  • spaces with non symmetric affine connection
  • generalized Riemannian spaces

Published Papers (2 papers)

Download All Papers
Order results
Result details
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:

Research

8 pages, 221 KiB  
Article
The Shape Operator of Real Hypersurfaces in S6(1)
by Djordje Kocić and Miroslava Antić
Mathematics 2024, 12(11), 1668; https://doi.org/10.3390/math12111668 - 27 May 2024
Viewed by 217
Abstract
The aim of the paper is to present two results concerning real hypersurfaces in the six-dimensional sphere S6(1). More precisely, we prove that real hypersurfaces with the Lie-parallel shape operator A must be totally geodesic hyperspheres. Additionally, we [...] Read more.
The aim of the paper is to present two results concerning real hypersurfaces in the six-dimensional sphere S6(1). More precisely, we prove that real hypersurfaces with the Lie-parallel shape operator A must be totally geodesic hyperspheres. Additionally, we classify real hypersurfaces in a nearly Kähler sphere S6(1) whose Lie derivative of the shape operator coincides with its covariant derivative. Full article
(This article belongs to the Special Issue Differential Geometry, Geometric Analysis and Their Related Applications)
12 pages, 268 KiB  
Article
On Curvature Pinching for Submanifolds with Parallel Normalized Mean Curvature Vector
by Juanru Gu and Yao Lu
Mathematics 2024, 12(11), 1633; https://doi.org/10.3390/math12111633 - 23 May 2024
Viewed by 256
Abstract
In this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c). We first prove a codimension reduction theorem for submanifolds under [...] Read more.
In this note, we investigate the pinching problem for oriented compact submanifolds of dimension n with parallel normalized mean curvature vector in a space form Fn+p(c). We first prove a codimension reduction theorem for submanifolds under lower Ricci curvature bounds. Moreover, if the submanifolds have constant normalized scalar curvature R≥c, we obtain a classification theorem for submanifolds under lower Ricci curvature bounds. It should be emphasized that our Ricci pinching conditions are sharp for even n and p=2. Full article
(This article belongs to the Special Issue Differential Geometry, Geometric Analysis and Their Related Applications)
Show export options expand_more Show export options expand_less
Select all
Export citation of selected articles as:
 
Displaying articles 1-2
Back to TopTop