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On Riemann curvature of singular square metrics

Differential Geometry 2018-07-24 v1

Abstract

Square metrics is an important class of Finsler metrics. Recently, we introduced a special class of non-regular Finsler metrics called singular square metrics. The main purpose of this paper is to provide a necessary and sufficient condition for singular square metrics to be of constant Ricci or flag curvature when dimension n3n\geq3.

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Cite

@article{arxiv.1807.08224,
  title  = {On Riemann curvature of singular square metrics},
  author = {Changtao Yu},
  journal= {arXiv preprint arXiv:1807.08224},
  year   = {2018}
}

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17 pages