Submanifolds with nonpositive extrinsic curvature

Canevari, Samuel; de Freitas, Guilherme Machado; Manfio, Fernando

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(Reference retrieved automatically from Web of Science through information on FAPESP grant and its corresponding number as mentioned in the publication by the authors.)

Submanifolds with nonpositive extrinsic curvature

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Author(s):	Canevari, Samuel ; de Freitas, Guilherme Machado ; Manfio, Fernando Total Authors: 3
Document type:	Journal article
Source:	Annali di Matematica Pura ed Applicata; v. 196, n. 2, p. 407-426, APR 2017.
Web of Science Citations:	0
Abstract
We prove that complete submanifolds, on which the weak Omori-Yau maximum principle for the Hessian holds, with low codimension and bounded by cylinders of small radius must have points rich in large positive extrinsic curvature. The lower the codimension is, the richer such points are. The smaller the radius is, the larger such curvatures are. This work unifies and generalizes several previous results on submanifolds with nonpositive extrinsic curvature. (AU)

FAPESP's process:	14/01989-9 - Generalized Willmore surfaces
Grantee:	Fernando Manfio
Support Opportunities:	Scholarships abroad - Research

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