Sobolev metrics on diffeomorphism groups and the derived geometry of spaces of submanifolds

Izvestiya Mathematics

Volumn 77, Issue 3, 2013, Pages 541-570

  Micheli, M ^a   Michor, P W ^b   Mumford, D ^c  

^a UNIVERSITÉ PARIS DESCARTES   (France)

^b UNIVERSITY OF VIENNA   (Austria)

^c BROWN UNIVERSITY   (United States)

Author keywords

Curvature in terms of the cometric; Manifold of submanifolds; O'Neill's formula; Right invariant Sobolev metrics on diffeomorphism groups; Robust infinite dimensional weak Riemannian manifolds

Indexed keywords

EID: 84879907676     PISSN: 10645632     EISSN: 14684810     Source Type: Journal    
DOI: 10.1070/IM2013v077n03ABEH002648     Document Type: Article

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