On a class of projective Ricci curvature of Finsler metrics-Reference-Cited by-同舟云学术

On a class of projective Ricci curvature of Finsler metrics

Published:2021-07-31 Issue:11 Volume:32 Page:
ISSN:0129-167X
Container-title:International Journal of Mathematics
language:en
Short-container-title:Int. J. Math.

Author:

Zhu Hongmei¹^ORCID

Affiliation:

1. College of Mathematics and Information Science, Henan Normal University, Xinxiang 453007, P. R. China

Abstract

In Finsler geometry, the projective Ricci curvature is an important projective invariant. In this paper, we investigate the projective Ricci curvature of a class of general [Formula: see text]-metrics satisfying a certain condition, which is invariant under the change of volume form. Moreover, we construct a class of new nontrivial examples on such Finsler metrics.

Funder

National Natural Science Foundation of China

National Foundation for Cultivating Youth Scientific Research Projects of Henan Normal University

Publisher

World Scientific Pub Co Pte Ltd

Subject

General Mathematics

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0129167X21500841

Reference11 articles.

1. On a class of projective Ricci flat Finsler metrics

2. On spherically symmetric Finsler metrics with vanishing Douglas curvature

3. Heat flow on Finsler manifolds

4. Volume Comparison and Its Applications in Riemann–Finsler Geometry

5. Differential Geometry of Spray and Finsler Spaces

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