SOME ESTIMATES FOR COMPACT HYPERSURFACES IN HYPERBOLIC SPACE
Author(s) -
Azam Etemad
Publication year - 2005
Publication title -
bulletin of the korean mathematical society
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.295
H-Index - 27
eISSN - 2234-3016
pISSN - 1015-8634
DOI - 10.4134/bkms.2005.42.1.039
Subject(s) - mathematics , hypersurface , bounded function , hyperbolic space , scalar curvature , mean curvature , mathematical analysis , constant (computer programming) , curvature , domain (mathematical analysis) , space (punctuation) , scalar (mathematics) , upper and lower bounds , pure mathematics , geometry , linguistics , philosophy , computer science , programming language
Let M be a compact hypersurface in hyperbolic space and let A be the area of M and V be the volume of the compact domain bounded by M. In this paper, we flnd a lower bound for A in two cases, M has constant scalar curvature and M has constant mean curvature.
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