Title	Ivory's and Arnold's theorems on the sphere and in the hyperbolic space
Creator	Izmestiev, Ivan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-06-16T15:17
Description	Take a solid shell bounded by two homothetic ellipsoids. Ivory's theorem says that the gravity inside the shell is zero; besides, if the shell is infinitely thin, the equipotential surfaces outside of it are confocal ellipsoids. Arnold's theorem generalizes the first part of the Ivory theorem (zero gravity) to certain algebraic surfaces. In this talk we present analogs of both theorems in the spherical and the hyperbolic space. This is a part of a joint work with Sergei Tabachnikov.
Extent	49 minutes
Subject	Mathematics; Dynamical systems and ergodic theory; Ordinary differential equations; Dynamical systems
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Fribourg
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2016-12-19
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0340391
URI	http://hdl.handle.net/2429/60036
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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