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MINIMAL VOLUME OF COMPLETE UNIFORM VISIBILITY MANIFOLDS WITH FINITE VOLUME

Part of: Global differential geometry Special aspects of infinite or finite groups

Published online by Cambridge University Press:  07 June 2013

SUNGWOON KIM
SUNGWOON KIM*
Affiliation:
School of Mathematics, Korea Institute for Advanced Science, Hoegiro 85, Dongdaemun-gu, Seoul, 130-722, Republic of Korea email [email protected]
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Abstract

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

Keywords

minimal volumesimplicial volumevisibility manifold

MSC classification

Secondary: 53C23: Global geometric and topological methods (à la Gromov); differential geometric analysis on metric spaces 20F67: Hyperbolic groups and nonpositively curved groups
Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 94 , Issue 3 , June 2013 , pp. 375 - 384
Copyright
Copyright ©2013 Australian Mathematical Publishing Association Inc. 

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