Hypersurfaces of a Riemannian vector bundle with prescribed Gaussian curvature

DOI10.1016/S1631-073X(02)02588-8zbMath1034.53058OpenAlexW2051109083MaRDI QIDQ1565899

Abdellah Hanani

Publication date: 27 May 2003

Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s1631-073x(02)02588-8

zbMATH Keywords

Gaussian curvatureRiemannian vector bundlesphere subbundle

Mathematics Subject Classification ID

Global submanifolds (53C40)

Cites Work

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• Plongements radiaux $S\sp n\hookrightarrow {R}\sp {n+1}$ à courbure de Gauss positive prescrite
• The inverse function theorem of Nash and Moser
• Hypersurfaces in IRⁿ⁺¹with prescribed gaussian curvature and related equations of monge—ampére type
• Degree of Mapping in Convex Linear Topological Spaces

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