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Collar lemma in quaternionic hyperbolic manifold
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Abstract
In this paper, we show that a short simple closed geo-desic in quaternionic hyperbolic 2-manifold has an embedded tubu-lar neighborhood whose width only depends on the length of thegeodesic.
참고문헌 (7)
- "Complex Hyperbolic Geometry" (1999), Oxford University Press
- "J\"orgensen's inequality for complex hyperbolic space", pp.55~80 (2003)
- "Discreteness criterions of isometric subgroups for quaternionic hyperbolic space", pp.51~78 (2004)
- "On discrete groups of quaternionic hyperbolic motions" (2004), SNU
- "Geometry of quaternionic hyperbolic manifolds", (2), pp.291~320 (2003)
- S. Markham, "Collars in complex and quaternionic hyperbolic manifolds", pp.199~213 (2003)
- mey} R. Meyerhoff, "\it A lower bound for the volume of hyperbolic 3-manifolds}", pp.1038~ (1987)
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