A new obstruction to minimal isometric immersions into a real space form

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In the theory of minimal submanifold, the following problem is fundamental: when does a given Riemannian manifold admit (or does not admit) a minimal isometric immersion into an Euclidean space form of arbitrary dimension? A partial solution of this problem was obtained by B.Y. Chen as an application of his fundamental inequality [1]. In this paper we obtain another partial solution of this problem.
11 pages

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Differential Geometry, Optimization and Control, 53C21, 53C24, 49K35

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http://salesiana.dossiersoluciones.com/handle/123456789/104761

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0511089
 http://arxiv.org/abs/math/0511089

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arXiv