Some projectively Ricci-flat (α,β)-metrics

In this paper, we construct some projectively Ricci-flat Finsler metrics defined by a Riemannian metric α and a 1-form β . Moreover, we classify the projectively Ricci-flat ( α , β ) -metrics under the condition, that β is a non-parallel Killing form which has non-zero constant length.

Saved in:

Bibliographic Details
Published in:	Periodica mathematica Hungarica Vol. 86; no. 2; pp. 514 - 529
Main Authors:	Gabrani, Mehran, Sevim, Esra Sengelen, Shen, Zhongmin
Format:	Journal Article
Language:	English
Published:	Cham Springer International Publishing 01-06-2023 Springer Nature B.V
Subjects:	Mathematics Mathematics and Statistics ( Finsler metrics 53B40 metrics Projective Ricci curvature 53C60
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	In this paper, we construct some projectively Ricci-flat Finsler metrics defined by a Riemannian metric α and a 1-form β . Moreover, we classify the projectively Ricci-flat ( α , β ) -metrics under the condition, that β is a non-parallel Killing form which has non-zero constant length.
ISSN:	0031-5303 1588-2829
DOI:	10.1007/s10998-022-00486-2