Hypersurfaces d'un fibré vectoriel Riemannien à courbure de Gauss prescriteHypersurfaces of a Riemannian vector bundle with prescribed Gaussian curvature |
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| Authors: | Abdellah Hanani |
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| Institution: | 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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| Abstract: | 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. To cite this article: A. Hanani, C. R. Acad. Sci. Paris, Ser. I 335 (2002) 927–930. |
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