MINIMAL VOLUME OF COMPLETE UNIFORM VISIBILITY MANIFOLDS WITH FINITE VOLUME

MINIMAL VOLUME OF COMPLETE UNIFORM VISIBILITY MANIFOLDS WITH FINITE VOLUME

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.

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Veröffentlicht in:Journal of the Australian Mathematical Society (2001) 2013-06, Vol.94 (3), p.375-384
1. Verfasser: KIM, SUNGWOON
Format: Artikel
Sprache:eng
Schlagworte:
Manifolds
Visibility
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Zusammenfassung: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.
ISSN:1446-7887
1446-8107
DOI:10.1017/S1446788713000141