Cylindricity of complete Euclidean submanifolds with relative nullity

DOI10.1007/s10455-015-9490-0zbMath1341.53008arXiv1508.06765OpenAlexW1892255806WikidataQ126183763 ScholiaQ126183763MaRDI QIDQ282770

Guilherme Machado de Freitas, Felippe Soares Guimarães

Publication date: 12 May 2016

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1508.06765

zbMATH Keywords

cylindersplitting theoremHartman theoremrelative nullity

Mathematics Subject Classification ID

Higher-dimensional and -codimensional surfaces in Euclidean and related (n)-spaces (53A07) Global submanifolds (53C40) Foliations (differential geometric aspects) (53C12) Surfaces in Euclidean and related spaces (53A05)

Related Items

Complete minimal submanifolds with nullity in Euclidean space ⋮ Complete submanifolds with relative nullity in space forms ⋮ On the mean curvature of submanifolds with nullity

Cites Work

• Unnamed Item
• On the nullity distribution of a submanifold of a space form
• On the completeness of nullity foliations
• Isometric immersions of Riemannian products
• Cylindricity of Isometric Immersions into Euclidean Space
• On completeness of integral manifolds of nullity distributions
• A warped product version of the Cheeger-Gromoll splitting theorem
• A curvature condition for a twisted product to be a warped product

This page was built for publication: Cylindricity of complete Euclidean submanifolds with relative nullity