Cylindricity of complete Euclidean submanifolds with relative nullity

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
Format: Artikel
Sprache:eng
Schlagworte:
Manifolds (mathematics)
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Zusammenfassung: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.
ISSN:2331-8422