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Homogeneous Finsler spaces with exponential metric

  • Gauree Shanker and Kirandeep Kaur EMAIL logo
From the journal Advances in Geometry

Abstract

We prove the existence of an invariant vector field on a homogeneous Finsler space with exponential metric, and we derive an explicit formula for the S-curvature of a homogeneous Finsler space with exponential metric. Using this formula, we obtain a formula for the mean Berwald curvature of such a homogeneous Finsler space.

MSC 2010: 22E60; 53C30; 53C60
  1. Communicated by: K. Ono

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Received: 2018-01-09
Published Online: 2020-07-05
Published in Print: 2020-07-28

© 2020 Walter de Gruyter GmbH, Berlin/Boston

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