Work

Split curvature

Year: 2024

Type: article

Abstract: We consider spaces with a special kind of Riemannian tensor. It is proved that they are semisymmetric spaces. These spaces are divided into three types and we investigate nontrivial geodesic mappings for each type. In particular, it is proved that if these spaces admit nontrivial geodesic mappings, then they have a constant scalar curvature.

Source: Proceedings of the International Geometry Center

DOI: 10.15673/pigc.v17i3.2817

Authors: Volodymyr Kiosak, Oleksandr Latysh, Valeriy Kuzmich

Institutions: Odessa State Academy of Civil Engineering and Architecture, National University «Odesa Maritime Academy», Odessa National Maritime University, Kherson State University

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

OpenAlex ID: W4405725127

FWCI: 0.2

Cites: 21

Cited by: 1

Related to: 10