Recent Studies in Differential Geometry and Its Applications

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

Deadline for manuscript submissions: 31 January 2025 | Viewed by 617

Special Issue Editor


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Guest Editor
Section Mathematics and IT, Department of Medical Physics and Biophysics, Faculty of Pharmacy, Medical University—Plovdiv, 15-A Vasil Aprilov Blvd., 4002 Plovdiv, Bulgaria
Interests: differential geometry; applications of mathematics; statistics; electronic education

Special Issue Information

Dear Colleagues,

An important fundamental branch in the field of mathematics is differential geometry. As is well known, differential geometry deals with the study of smooth manifolds, and it has numerous applications in various fields, including mathematics, physics, engineering, computer graphics, and robotics.

The present Special Issue is devoted to recent studies on all topics related to differential geometry and its applications.

Dr. Hristo Manev
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

  • differentiable manifold
  • (pseudo-)Riemannian metric
  • affine connection
  • soliton
  • vector field

Published Papers (1 paper)

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Research

18 pages, 293 KiB  
Article
Analyzing Curvature Properties and Geometric Solitons of the Twisted Sasaki Metric on the Tangent Bundle over a Statistical Manifold
by Lixu Yan, Yanlin Li, Lokman Bilen and Aydın Gezer
Mathematics 2024, 12(9), 1395; https://doi.org/10.3390/math12091395 - 2 May 2024
Viewed by 473
Abstract
Let (M,,g) be a statistical manifold and TM be its tangent bundle endowed with a twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of [...] Read more.
Let (M,,g) be a statistical manifold and TM be its tangent bundle endowed with a twisted Sasaki metric G. This paper serves two primary objectives. The first objective is to investigate the curvature properties of the tangent bundle TM. The second objective is to explore conformal vector fields and Ricci, Yamabe, and gradient Ricci–Yamabe solitons on the tangent bundle TM according to the twisted Sasaki metric G. Full article
(This article belongs to the Special Issue Recent Studies in Differential Geometry and Its Applications)
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