English

On the fundamental group of complete manifolds with almost Euclidean volume growth

Differential Geometry 2019-02-15 v1

Abstract

It is proved that the fundamental group of a complete Riemannian manifold with nonnegative Ricci curvature and certain volume growth conditions is trivial or finite.

Keywords

Cite

@article{arxiv.1902.05292,
  title  = {On the fundamental group of complete manifolds with almost Euclidean volume growth},
  author = {Jianming Wan},
  journal= {arXiv preprint arXiv:1902.05292},
  year   = {2019}
}

Comments

To appear in Proc. Amer. Math. Soc