Smooth isometric immersions into the infinite-dimensional sphere

DOI10.1007/BF02465213zbMath0949.46005OpenAlexW2038617136MaRDI QIDQ1974253

Yanyan Li

Publication date: 21 November 2000

Published in: Functional Analysis and its Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02465213

zbMATH Keywords

isometric immersionembeddings of infinite-dimensional Banach spacesinfinite-dimensional sphereuniformly smooth immersions

Mathematics Subject Classification ID

Hilbert and pre-Hilbert spaces: geometry and topology (including spaces with semidefinite inner product) (46C05) Geometry and structure of normed linear spaces (46B20) Isometric theory of Banach spaces (46B04)

Cites Work

• The imbedding problem for Riemannian manifolds
• Gaussian measures in Banach spaces
• \(C^1\) isometric imbeddings

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