Research Article

Conformally related invariant (α, β)-metrics on homogeneous spaces

Published in: Quaestiones Mathematicae
Volume 47 , issue 8 , 2024 , pages: 1559–1570

DOI: 10.2989/16073606.2024.2328352

Author(s): Azar Fatahi University of Isfahan, Iran , Masoumeh Hosseini University of Isfahan, Iran , Hamid Reza Salimi Moghaddam University of Isfahan, Iran

Keywords: 53C30 , 53C60 , 53C25 , 22E60 , Invariant Riemannain metric , invariant (α , β)-metric , conformally relates , Lie group , homogeneous space

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Abstract

In this paper, we give the flag curvature formula of general (α, β)-metrics of Berwald type. We study conformally related (α, β)-metrics, especially general (α, β)-metrics that are conformally related to invariant (α, β)-metrics. Also, a necessary and sufficient condition for a Finsler metric conformally related to an (α, β)-metric is given and conformally related Douglas Randers metrics are studied. Finally, we present some examples of conformally related (α, β)-metrics.

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