Title	Smooth perturbations of the functional calculus and applications to Riemannian geometry on spaces of metrics
Creator	Harms, Philipp
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2018-12-12T11:02
Description	We show that the functional calculus, which maps operators A to functionals f(A), is holomorphic for a certain class of operators A and holomorphic functions f. Using this result we are able to prove that fractional Laplacians depend real analytically on the underlying Riemannian metric in suitable Sobolev topologies. As an application we obtain local well-posedness of the geodesic equation for fractional Sobolev metrics on the space of all Riemannian metrics. (Joint work with Martins Bruveris, Martin Bauer, and Peter W. Michor)
Extent	24.0
Subject	Mathematics; Calculus of variations and optimal control; optimization; Differential geometry
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of Freiburg
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2019-06-11
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0379393
URI	http://hdl.handle.net/2429/70609
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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