Title	On Hypersurfaces in Hyperbolic Space
Creator	Qing, Jie
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-05-16T08:47
Description	In this talk I will report our recent works on convex hypersurfaces in hyperbolic space. To study hypersurfaces in hyperbolic space analytically, one needs to find ways to parametrize it, preferably globally. We consider two parametrizations: vertical graph and hyperbolic Gauss map. To get a global parametrization, one needs understand the interrelation of convexity and embeddedness. It is also important to understand the asymptotic of the geometry at ends. In this talk I will report some of our recent works on global and asymptotic properties of hypersurfaces with nonnegative sectional curvature or Ricci curvature in hyperbolic space, where our use of $n$-Laplace equations seems to be new.
Extent	54.0
Subject	Mathematics; Global analysis, analysis on manifolds; Relativity and gravitational theory; Global analysis
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of California, Santa Cruz
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-03-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0377277
URI	http://hdl.handle.net/2429/69037
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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On Hypersurfaces in Hyperbolic Space Qing, Jie

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