English

Metric Ricci curvature for $PL$ manifolds

Differential Geometry 2012-03-08 v1 Computational Geometry

Abstract

We introduce a metric notion of Ricci curvature for PLPL manifolds and study its convergence properties. We also prove a fitting version of the Bonnet-Myers Theorem, for surfaces as well as for a large class of higher dimensional manifolds.

Keywords

Cite

@article{arxiv.1203.1592,
  title  = {Metric Ricci curvature for $PL$ manifolds},
  author = {Emil Saucan},
  journal= {arXiv preprint arXiv:1203.1592},
  year   = {2012}
}

Comments

20 pages