Differential Geometry and Its Application, 3rd Edition

A special issue of Axioms (ISSN 2075-1680). This special issue belongs to the section "Geometry and Topology".

Deadline for manuscript submissions: 20 March 2025 | Viewed by 571

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Guest Editor
Department of Mathematics, Faculty of Sciences and Mathematics, University of Nis, 18000 Niš, Serbia
Interests: Riemannian geometry; spaces of non-symmetric affine connection; geodesic mappings; Finsler geometry; infinitesimal bending; almost geodesic mappings; Kahlerian spaces
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Special Issue Information

Dear Colleagues,

This Special Issue is a continuation of our previous Special Issue on "Differential Geometry and Its Application, 2nd edition". Our intention is to launch a Special Edition of Axioms in which the central theme would be the generalization of Riemann spaces and their mappings.

We wish to provide an opportunity to present the latest achievements in many branches of theoretical and practical studies of mathematics, which are related to the theory of Riemann and generalized Riemann spaces and their mappings.

Among the topics that will be included in this Special Issue, we can consider the following non-exhaustive list:

Riemannian spaces and generalizations, Kenmotsu manifolds, Kaehler manifolds, manifolds with non-symmetric linear connections, co-symplectic manifolds, contact manifolds, statistical manifolds, Minkowski spaces, geodesic mappings, almost geodesic mappings, holomorphically projective mappings, warped product of manifolds, complex space forms, quaternionic space forms, golden manifolds, inequalities, invariants, immersions, etc.

In addition to the above topics, new ideas are also welcome.

In the hope that this initiative will be of interest, we encourage you to submit your current research for inclusion in this Special Issue.

Prof. Dr. Mica Stankovic
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. Axioms is an international peer-reviewed open access monthly 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 2400 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

  • contact manifolds
  • generalized Riemann spaces
  • statistical manifolds
  • kenmotsu manifolds
  • kaehler manifolds
  • golden manifolds
  • invariants
  • immersions
  • complex space forms
  • geodesic mappings

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Published Papers (1 paper)

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Research

21 pages, 324 KiB  
Article
(Almost) Ricci Solitons in Lorentzian–Sasakian Hom-Lie Groups
by Esmaeil Peyghan, Leila Nourmohammadifar, Akram Ali and Ion Mihai
Axioms 2024, 13(10), 693; https://doi.org/10.3390/axioms13100693 - 4 Oct 2024
Viewed by 415
Abstract
We study Lorentzian contact and Lorentzian–Sasakian structures in Hom-Lie algebras. We find that the three-dimensional sl(2,R) and Heisenberg Lie algebras provide examples of such structures, respectively. Curvature tensor properties in Lorentzian–Sasakian Hom-Lie algebras are investigated. If v is [...] Read more.
We study Lorentzian contact and Lorentzian–Sasakian structures in Hom-Lie algebras. We find that the three-dimensional sl(2,R) and Heisenberg Lie algebras provide examples of such structures, respectively. Curvature tensor properties in Lorentzian–Sasakian Hom-Lie algebras are investigated. If v is a contact 1-form, conditions under which the Ricci curvature tensor is v-parallel are given. Ricci solitons for Lorentzian–Sasakian Hom-Lie algebras are also studied. It is shown that a Ricci soliton vector field ζ is conformal whenever the Lorentzian–Sasakian Hom-Lie algebra is Ricci semisymmetric. To illustrate the use of the theory, a two-parameter family of three-dimensional Lorentzian–Sasakian Hom-Lie algebras which are not Lie algebras is given and their Ricci solitons are computed. Full article
(This article belongs to the Special Issue Differential Geometry and Its Application, 3rd Edition)
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