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arXiv · 1508.06765

Cylindricity of complete Euclidean submanifolds with relative nullity

Felippe Soares GuimarÃes·Guilherme Machado De Freitas
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Abstract

We show that a complete Euclidean submanifold with minimal index of relative nullity $ν_0>0$ and Ricci curvature with a certain controlled decay must be a $ν_0$-cylinder. This is an extension of the classical Hartman cylindricity theorem.

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Felippe Soares GuimarÃes, Guilherme Machado De Freitas. 2015-08-27. Cylindricity of complete Euclidean submanifolds with relative nullity. https://arxiv.org/abs/1508.06765

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