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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.)

A SHARP HEIGHT ESTIMATE FOR COMPACT HYPERSURFACES WITH CONSTANT k-MEAN CURVATURE IN WARPED PRODUCT SPACES

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Author(s):
Garcia-Martinez, Sandra C. [1] ; Impera, Debora [2] ; Rigoli, Marco [3]
Total Authors: 3
Affiliation:
[1] Univ Sao Paulo, Inst Matemat & Estadist, Sao Paulo - Brazil
[2] Univ Milano Bicocca, Dipartimento Matemat & Applicaz, I-20125 Milan - Italy
[3] Univ Milan, Dipartimento Matemat, I-20133 Milan - Italy
Total Affiliations: 3
Document type: Journal article
Source: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 58, n. 2, p. 403-419, JUN 2015.
Web of Science Citations: 3
Abstract

In this paper we obtain a sharp height estimate concerning compact hypersurfaces immersed into warped product spaces with some constant higher-order mean curvature and whose boundary is contained in a slice. We apply these results to draw topological conclusions at the end of the paper. (AU)

FAPESP's process: 12/22490-7 - Topics in Geometric Analysis in Riemannian Manifolds
Grantee:Sandra Carolina García Martínez
Support Opportunities: Scholarships in Brazil - Post-Doctoral