Please use this identifier to cite or link to this item: http://scholarbank.nus.edu.sg/handle/10635/103186
Title: Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space
Authors: Cheung, L.-F.
Leung, P.-F. 
Issue Date: Mar-2001
Citation: Cheung, L.-F.,Leung, P.-F. (2001-03). Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space. Mathematische Zeitschrift 236 (3) : 525-530. ScholarBank@NUS Repository.
Abstract: Let M be an n-dimensional complete non-compact submanifold in a hyperbolic space with the norm of its mean curvature vector bounded by a constant α < n-1. We prove in this paper that λ1 (M) ≥ 1/4 (n - 1 - α)2 > 0. In particular when M is minimal we have λ1 (M) ≥ 1/4 (n - 1)2 and this is sharp because equality holds when M is totally geodesic.
Source Title: Mathematische Zeitschrift
URI: http://scholarbank.nus.edu.sg/handle/10635/103186
ISSN: 00255874
Appears in Collections:Staff Publications

Show full item record
Files in This Item:
There are no files associated with this item.

Page view(s)

34
checked on Sep 28, 2018

Google ScholarTM

Check


Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.