Browse > Article
http://dx.doi.org/10.4134/BKMS.2006.43.2.411

COLLAR LEMMA IN QUATERNIONIC HYPERBOLIC MANIFOLD  

Kim, Dae-Young (SCHOOL OF MATHEMATICS SCIENCE, SEOUL NATIONAL UNIVERSITY)
Publication Information
Bulletin of the Korean Mathematical Society / v.43, no.2, 2006 , pp. 411-418 More about this Journal
Abstract
In this paper, we show that a short simple closed geodesic in quaternionic hyperbolic 2-manifold has an embedded tubular neighborhood whose width only depends on the length of the geodesic.
Keywords
collar; quaternionic hyperbolic; tubular neighborhood;
Citations & Related Records

Times Cited By SCOPUS : 0
연도 인용수 순위
  • Reference
1 W. M. Goldman, Complex Hyperbolic Geometry, Oxford Mathematical Mono- graphs, Oxford University Press, 1999
2 J. Yueping, S. Kamiya, and J. R. Parker, Jorgensen's inequality for complex hy- perbolic space, Geom. Dedicata 97 (2003), 55-80   DOI
3 D. Kim, Discreteness criterions of isometric subgroups for quaternionic hyperbolic space, Geom. Dedicata 106 (2004), 51-78   DOI
4 D. Kim, On discrete groups of quaternionic hyperbolic motions, Phd Thesis, SNU, 2004
5 I. Kim and J. R. Parker, Geometry of quaternionic hyperbolic manifolds, Math. Proc. Cambridge Philos. Soc. 135 (2003), no. 2, 291-320
6 S. Markham and J. R. Parker, Collars in complex and quaternionic hyperbolic manifolds, Geom. Dedicata 97 (2003), 199-213   DOI
7 R. Meyerhoff, A lower bound for the volume of hyperbolic 3-manifolds, Canad. J. Math. 39 (1987), no. 5, 1038-1056   DOI