Sur la déformabilité des variétés plongées dans un espace de Riemann

DOI10.24033/asens.1048zbMath0075.17301OpenAlexW2416001566WikidataQ126014357 ScholiaQ126014357MaRDI QIDQ3240643

Simone Dolbeault-Lemoine

Publication date: 1956

Published in: Annales scientifiques de l'École normale supérieure (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=ASENS_1956_3_73_4_357_0

zbMATH Keywords

Riemannian manifolds

Mathematics Subject Classification ID

Global differential geometry (53Cxx)

Related Items

Rigidity of hypersurfaces of constant scalar curvature

Cites Work

• On the covering of a complete space by the geodesics though a point
• Connections between differential geometry and topology. II. Closed surfaces
• Riemann spaces of class one and their characterization
• Hypersurfaces of a space of constant curvature
• Isometric embedding of flat manifolds in Euclidean space
• Sur la réductibilité d'un espace de Riemann
• \(C^1\) isometric imbeddings
• Topological properties of differentiable manifolds
• Curvature of Closed Hypersurfaces and Non-Existence of Closed Minimal Hypersurfaces
• The Fibring of Riemannian Manifolds
• On n-Dimensional Riemannian Spaces Admitting a Group of Motions of Order n(n-1)/2 + 1
• Curvature and Betti Numbers. (AM-32)
• Some new viewpoints in differential geometry in the large
• Some theorems on the isometric imbedding of compact Riemann manifolds in Euclidean space
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