A metric on shape space with explicit geodesics

DOI10.4171/RLM/506zbMath1142.58013arXiv0706.4299MaRDI QIDQ931059

Laurent Younes, David Mumford, Jayant Shah, Peter W. Michor

Publication date: 24 June 2008

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/0706.4299

zbMATH Keywords

Riemannian metric Stiefel manifold shape space diffeomorphism group

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Variational problems in applications to the theory of geodesics (problems in one independent variable) (58E10) Manifolds of mappings (58D15) Variational aspects of group actions in infinite-dimensional spaces (58E40)

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