On the total curvature of convex hypersurfaces in hyperbolic spaces
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- by Albert Borbély PDF
- Proc. Amer. Math. Soc. 130 (2002), 849-854 Request permission
Abstract:
Let $C_{1}\subset C_{2}\subset H^{n}$ be two convex compact subsets of the hyperbolic space $H^{n}$ with smooth boundary. It is shown that the total curvature of the hypersurface $\partial C_{2}$ is larger than the total curvature of $\partial C_{1}$.References
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Additional Information
- Albert Borbély
- Affiliation: Department of Mathematics and Computer Science, Kuwait University, P.O. Box 5969, Safat 13060, Kuwait
- Email: borbely@mcs.sci.kuniv.edu.kw
- Received by editor(s): February 15, 2000
- Received by editor(s) in revised form: September 20, 2000
- Published electronically: October 5, 2001
- Additional Notes: This research was supported by the Kuwait University Research Grant SM 03/99
- Communicated by: Wolfgang Ziller
- © Copyright 2001 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 130 (2002), 849-854
- MSC (1991): Primary 53C21
- DOI: https://doi.org/10.1090/S0002-9939-01-06101-9
- MathSciNet review: 1866041