English

Minimal volume of complete uniform visibility manifolds with finite volume

Geometric Topology 2012-04-11 v1

Abstract

We show that complete uniform visibility manifolds of finite volume with sectional curvature 1K0-1 \leq K \leq 0 have positive simplicial volumes. This implies that their minimal volumes are non-zero.

Keywords

Cite

@article{arxiv.1204.2025,
  title  = {Minimal volume of complete uniform visibility manifolds with finite volume},
  author = {Sungwoon Kim},
  journal= {arXiv preprint arXiv:1204.2025},
  year   = {2012}
}