Cylindricity of complete Euclidean submanifolds with relative nullity

We show that a complete Euclidean submanifold with minimal index of relative nullity $\nu_0>0$ and Ricci curvature with a certain controlled decay must be a $\nu_0$-cylinder. This is an extension of the classical Hartman cylindricity theorem.

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Veröffentlicht in:	arXiv.org 2015-08
Hauptverfasser:	Felippe Soares GuimarÃes, Guilherme Machado De Freitas
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Sprache:	eng
Schlagworte:	Manifolds (mathematics)
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creator	Felippe Soares GuimarÃes Guilherme Machado De Freitas
description	We show that a complete Euclidean submanifold with minimal index of relative nullity $\nu_0>0$ and Ricci curvature with a certain controlled decay must be a $\nu_0$-cylinder. This is an extension of the classical Hartman cylindricity theorem.
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title	Cylindricity of complete Euclidean submanifolds with relative nullity
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