Remarks on an inequality involving the normal scalar curvature

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We study a pointwise inequality for submanifolds in real space forms involving the scalar curvature, the normal scalar curvature and the mean curvature. We translate it into an algebraic problem, allowing us to prove a slightly weaker version of it. We also prove the conjecture for certain types of submanifolds of $\mathbb C^n$.
to appear in the Proceedings of the International Congress on Pure and Applied Differential Geometry PADGE2007

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Differential Geometry, 53B25

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http://salesiana.dossiersoluciones.com/handle/123456789/141112

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0610721
 http://arxiv.org/abs/math/0610721

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arXiv