A class of Finsler spaces with general (α,β)-metrics-Reference-Cited by-同舟云学术

A class of Finsler spaces with general (α,β)-metrics

Published:2019-11 Issue:supp02 Volume:16 Page:1950102
ISSN:0219-8878
Container-title:International Journal of Geometric Methods in Modern Physics
language:en
Short-container-title:Int. J. Geom. Methods Mod. Phys.

Author:

Tiwari Bankteshwar¹^ORCID,Gangopadhyay Ranadip¹,Prajapati Ghanashyam Kr.²

Affiliation:

1. DST-CIMS, Institute of Science, Banaras Hindu University, Varanasi-221005, India

2. Loknayak Jai Prakash Institute of Technology, Chhapra, Bihar-841302, India

Abstract

In the present paper, we prove that a general [Formula: see text]-metric [Formula: see text] is of isotropic [Formula: see text]-curvature if and only if it is of isotropic [Formula: see text]-curvature under an extra condition on [Formula: see text] and [Formula: see text].

Publisher

World Scientific Pub Co Pte Lt

Subject

Physics and Astronomy (miscellaneous)

Link

https://www.worldscientific.com/doi/pdf/10.1142/S0219887819501020

Reference17 articles.

1. D. Bao and C. Robles , Ricci and Flag Curvature in Finsler Geometry, Riemann-Finsler Geometry, Vol. 50 (MSRI Publications, Cambridge University Press, 2004), pp. 197–260.

2. Zermelo navigation on Riemannian manifolds

3. Curvature properties of $(\alpha, \beta)$-metrics

4. A class of Finsler metrics with isotropic S-curvature

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