Dually flat Finsler spaces with transformed metrics

Document Type : Original Article

Authors

1 Department of Mathematics and Statistics, Central University of Punjab, VPO: Ghudda-151401, Bathinda, India. saritas.ss92@gmail.com

2 Department of Mathematics and Statistics, Central University of Punjab, VPO: Ghudda, Bathinda-151401, Punjab, India. grshnkr2007@gmail.com

3 Department of Mathematics, Punjabi University College Ghudda, Bathinda-151 001, Punjab, India. kiran5iitd@yahoo.com

Abstract

Current paper deals with the property of dually flatness of Finsler spaces with some special (α,β )-metrics constructed via Randers-β change. Here, we find necessary and sufficient conditions under which these (α,β )-metrics are locally dually flat. Finally, we conclude the relationship between locally dully flatness of these Randers-β change of Finsler metrics.

Keywords

Journal of Finsler Geometry and its Applications
Volume 2, Issue 2
December 2021
Pages 122-133

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