Isometric Euclidean embeddings of a compact manifold form a Fréchet manifold

DOI10.1016/0034-4877(88)90020-1zbMath0699.58022OpenAlexW2037433531MaRDI QIDQ913332

Ernst Binz

Publication date: 1988

Published in: Reports on Mathematical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0034-4877(88)90020-1

zbMATH Keywords

smooth embeddingsFréchet manifoldcompact smooth manifold

Mathematics Subject Classification ID

Riemannian, Finsler and other geometric structures on infinite-dimensional manifolds (58B20) Manifolds of mappings (58D15)

Cites Work

• The Gauss equations and rigidity of isometric embeddings
• Implicit function theorems and isometric embeddings
• An exact sequence in differential topology
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