On a class of conformally flat (α,β)-metrics with special curvature properties

Author(s):

Mosayeb Zohrehvand *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
Abstract:

This paper is devoted to study of a class of conformally flat (α,β)-metrics that have of the form F = αexp(2s)/s; where s := β/α. They are called Kropina change of exponential (α,β)-metrics. We prove that if F has relatively isotropic mean Landsberg curvature or almost vanishing Xi-curvature then it is a Riemannian metric or a locally Minkowski metric. Also, we prove that, if F be a weak Einstein metric, then it is either a Riemannian metric or a locally Minkowski metric.

Keywords:

Conformally at metric , exponential ( , )-metric , -curvature , mean Landsberg curvature

Language:
English
Published:
Journal of Finsler Geometry and its Applications, Volume:4 Issue: 2, Dec 2023
Pages:
1 to 21
https://www.magiran.com/p2677362  
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