Fractional Sobolev metrics on spaces of immersions

DOI10.1007/s00526-020-1719-5zbMath1441.58010arXiv1909.08657OpenAlexW3009556605MaRDI QIDQ1984779

Martin Bauer, Philipp Harms, Peter W. Michor

Publication date: 7 April 2020

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.08657

zbMATH Keywords

geodesic equationgroup of diffeomorphismsfractional Laplacianspace of immersionsfractional order Sobolev metricSobolev immersionsweak Riemannian metrics

Mathematics Subject Classification ID

Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Spaces of embeddings and immersions (58D10) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Manifolds of mappings (58D15) Infinite-dimensional manifolds (46T05) Manifolds of mappings (46T10)

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