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

Teodor Oprea
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Abstract

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.

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Teodor Oprea. 2005-11-03. A new obstruction to minimal isometric immersions into a real space form. https://arxiv.org/abs/math/0511089

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