Title	Slicing of Riemannian 2-surfaces by short curves
Creator	Liokumovich, Yevgeny
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2013-08-05
Description	Consider Riemannian 2-sphere M of area A and diameter d. We prove that there exists a slicing of M by loops of length ≤ 200d max{1, log(A/d2 )}. We construct examples showing that this bound is optimal up to a constant factor. This is a joint work with A. Nabutovsky and R. Rotman. Related questions about sweep-outs and slicings of surfaces will also be discussed.
Extent	45 minutes
Subject	Mathematics; Differential geometry; Manifolds and cell complexes
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Toronto
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2014-08-06
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivs 2.5 Canada
DOI	10.14288/1.0043473
URI	http://hdl.handle.net/2429/49418
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Graduate
Rights URI	http://creativecommons.org/licenses/by-nc-nd/2.5/ca/
Aggregated Source Repository	DSpace

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