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On Finsler Warped Product Metrics with Special Curvatures Properties

On Finsler Warped Product Metrics with Special Curvatures Properties In this paper, we study a class of Finsler metrics called Finsler warped product metrics. We prove that every Finsler warped product metric is of isotropic E-curvature if and only if it is of isotropic S-curvature. Moreover, we prove that if the metric is of Douglas type and has isotropic S-curvature, then it must be Randers metric or Berwald metric. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png Bulletin of the Malaysian Mathematical Sciences Society Springer Journals

On Finsler Warped Product Metrics with Special Curvatures Properties

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Publisher
Springer Journals
Copyright
Copyright © Malaysian Mathematical Sciences Society and Penerbit Universiti Sains Malaysia 2022
ISSN
0126-6705
eISSN
2180-4206
DOI
10.1007/s40840-021-01234-4
Publisher site
See Article on Publisher Site

Abstract

In this paper, we study a class of Finsler metrics called Finsler warped product metrics. We prove that every Finsler warped product metric is of isotropic E-curvature if and only if it is of isotropic S-curvature. Moreover, we prove that if the metric is of Douglas type and has isotropic S-curvature, then it must be Randers metric or Berwald metric.

Journal

Bulletin of the Malaysian Mathematical Sciences SocietySpringer Journals

Published: May 1, 2022

Keywords: Finsler metric; Warped product; Isotropic S-curvature; 53B40; 53C60

References