English

Manifolds with non-negative Ricci curvature and Nash inequalities

Differential Geometry 2007-05-23 v1 Algebraic Topology

Abstract

We prove that for any complete n-dimensional Riemannian manifold with nonnegative Ricci curvature, if the Nash inequality is satisfied, then it is diffeomorphic to RnR^{n}l.

Keywords

Cite

@article{arxiv.math/0408422,
  title  = {Manifolds with non-negative Ricci curvature and Nash inequalities},
  author = {Qihua Ruan and Zhihua Chen},
  journal= {arXiv preprint arXiv:math/0408422},
  year   = {2007}
}

Comments

five pages, latex file