Fundamental tone of minimal hypersurfaces with finite index in hyperbolic space
Author:
Funder
Sookmyung Women's University (KR)
Publisher
Springer Science and Business Media LLC
Subject
Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis
Link
http://link.springer.com/content/pdf/10.1186/s13660-016-1071-7.pdf
Reference16 articles.
1. McKean, HP: An upper bound to the spectrum of Δ on a manifold of negative curvature. J. Differ. Geom. 4, 359-366 (1970)
2. Cheung, LF, Leung, PF: Eigenvalue estimates for submanifolds with bounded mean curvature in the hyperbolic space. Math. Z. 236, 525-530 (2001)
3. Bessa, GP, Montenegro, JF: Eigenvalue estimates for submanifolds with locally bounded mean curvature. Ann. Glob. Anal. Geom. 24(3), 279-290 (2003)
4. Seo, K: Isoperimetric inequalities for submanifolds with bounded mean curvature. Monatshefte Math. 166(3-4), 525-542 (2012)
5. Castillon, P: Spectral properties of constant mean curvature submanifolds in hyperbolic space. Ann. Glob. Anal. Geom. 17(6), 563-580 (1999)
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