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 |
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| container_title | Journal of the Australian Mathematical Society (2001) |
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| creator | KIM, SUNGWOON |
| description | 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. |
| doi_str_mv | 10.1017/S1446788713000141 |
| format | Article |
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| ispartof | Journal of the Australian Mathematical Society (2001), 2013-06, Vol.94 (3), p.375-384 |
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| language | eng |
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| source | Cambridge University Press Journals Complete |
| subjects | Manifolds Visibility |
| title | MINIMAL VOLUME OF COMPLETE UNIFORM VISIBILITY MANIFOLDS WITH FINITE VOLUME |
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