Abstract
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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Felippe Soares Guimarães: Research was partially supported by CNPq/Brazil.
Guilherme Machado de Freitas: Research was partially supported by CNPq/Brazil.
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Guimarães, F.S., de Freitas, G.M. Cylindricity of complete Euclidean submanifolds with relative nullity. Ann Glob Anal Geom 49, 253–257 (2016). https://doi.org/10.1007/s10455-015-9490-0
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DOI: https://doi.org/10.1007/s10455-015-9490-0