A metric on the manifold of immersions and its Riemannian curvature

DOI10.1007/BF01507749zbMath0547.58016WikidataQ115393390 ScholiaQ115393390MaRDI QIDQ798997

Gerd Kainz

Publication date: 1984

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178201

zbMATH Keywords

embeddingsimmersionsRiemannian curvatureRiemannian metricscovariant derivative

Mathematics Subject Classification ID

Spaces of embeddings and immersions (58D10) Manifolds of mappings (58D15) Measures (Gaussian, cylindrical, etc.) on manifolds of maps (58D20)

Related Items (4)

Riemannian geometry of the space of volume preserving immersions ⋮ Some totally geodesic submanifolds of the nonlinear Grassmannian of a compact symmetric space ⋮ Some geometric characterizations of the Hopf fibrations of the three-sphere ⋮ Overview of the geometries of shape spaces and diffeomorphism groups

Cites Work

• Two natural metrics and their covariant derivative on a manifold of embeddings

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