Comptes Rendus
Hypersurfaces d'un fibré vectoriel Riemannien à courbure de Gauss prescrite
[Hypersurfaces of a Riemannian vector bundle with prescribed Gaussian curvature]
Comptes Rendus. Mathématique, Volume 335 (2002) no. 11, pp. 927-930.

Let M be a compact Riemannian manifold, E a Riemannian vector bundle on M and Σ the sphere subbundle of E. We look for embeddings of Σ into E admitting prescribed Gaussian curvatures of various types.

Soient M une variété Riemannienne compacte, E un fibré vectoriel Riemannien sur M et Σ le sous-fibré unitaire de E. On détermine des plongements de Σ dans E dont on prescrit des courbures de Gauss de divers types.

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Published online:
DOI: 10.1016/S1631-073X(02)02588-8

Abdellah Hanani 1

1 Université des sciences et technologies de Lille, UFR de mathématiques pures et appliquées, bât. M2, 59655 Villeneuve d'Ascq cedex, France
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Abdellah Hanani. Hypersurfaces d'un fibré vectoriel Riemannien à courbure de Gauss prescrite. Comptes Rendus. Mathématique, Volume 335 (2002) no. 11, pp. 927-930. doi : 10.1016/S1631-073X(02)02588-8. https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.1016/S1631-073X(02)02588-8/

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