English

A curvature identity on a 6-dimensional Riemannian Manifold and its applications

Differential Geometry 2016-08-11 v1

Abstract

We derive a curvature identity that holds on any 6-dimensional Riemannian manifold, from the Chern-Gauss-Bonnet theorem for a 6-dimensional closed Riemannian manifold. We also introduce some applications of this curvature identity.

Keywords

Cite

@article{arxiv.1608.03050,
  title  = {A curvature identity on a 6-dimensional Riemannian Manifold and its applications},
  author = {Yunhee Euh and JeongHyeong Park and Kouei Sekigawa},
  journal= {arXiv preprint arXiv:1608.03050},
  year   = {2016}
}

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17 pages