Bulletin of the
Korean Mathematical Society
BKMS

ISSN(Print) 1015-8634 ISSN(Online) 2234-3016

Article

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Bull. Korean Math. Soc. 2017; 54(3): 967-973

Online first article April 12, 2017      Printed May 31, 2017

https://doi.org/10.4134/BKMS.b160412

Copyright © The Korean Mathematical Society.

On homogeneous square Einstein metrics

Shaoqiang Deng and Xingda Liu

Nankai University, Chongqing University of Technology

Abstract

We prove that a homogeneous square Einstein Finsler metric is either Riemannian or flat.

Keywords: Einstein metric, square metric, reductive coset space, Ricci curvature

MSC numbers: 22E46, 53C30