English

On Einstein square metrics

Differential Geometry 2012-09-19 v1

Abstract

In this paper, we study an important class of Finsler metrics--square metrics. We give two expressions of such metrics in terms of a Riemannian metric and a 1-form. We show that Einstein square metrics can be classified up to the classification of Einstein Riemannian metrics.

Keywords

Cite

@article{arxiv.1209.3876,
  title  = {On Einstein square metrics},
  author = {Zhongmin Shen and Changtao Yu},
  journal= {arXiv preprint arXiv:1209.3876},
  year   = {2012}
}

Comments

11 pages

R2 v1 2026-06-21T22:07:05.708Z