Minimal volume of complete uniform visibility manifolds with finite volume

Details Minimal volume of complete uniform visibility manifolds with finite volume Minimal volume of complete uniform visibility manifolds with finite volume

2012-04-10

arxiv.org/abs/1204.2025v1

Mathematics

Geometric Topology

Scientific paper

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

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