Title	On the Sobolev quotient in sub-Riemannian geometry.
Creator	Malchiodi, Andrea
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-05-07T09:00
Description	We consider a class of three-dimensional ``CR manifolds'' which are modelled on the Heisenberg group. We introduce a natural concept of ``mass'' and prove its positivity under the conditions that the Webster curvature is positive and in relation to their (holomorphic) embeddability properties. We apply this result to the CR Yamabe problem, and we discuss the properties of Sobolev-type quotients, giving some counterexamples to the existence of minimisers for ``Rossi spheres'', in sharp contrast to the Riemannian case. This is joint work with J.H.Cheng and P.Yang.
Extent	36.0 minutes
Subject	Mathematics; Partial differential equations; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Scuola Normale Superiore di Pisa
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-11-04
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0384907
URI	http://hdl.handle.net/2429/72173
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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