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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.)

Curvature Estimates for Submanifolds in Warped Products

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Author(s):
Alias, L. J. [1] ; Bessa, G. P. [2] ; Montenegro, J. F. [2] ; Piccione, P. [3]
Total Authors: 4
Affiliation:
[1] Univ Murcia, Dept Matemat, E-30100 Murcia - Spain
[2] Univ Fed Ceara UFC, Dept Math, BR-60455760 Fortaleza, Ceara - Brazil
[3] Univ Sao Paulo, Inst Matemat & Estat, Dept Matemat, BR-05508090 Sao Paulo - Brazil
Total Affiliations: 3
Document type: Journal article
Source: Results in Mathematics; v. 60, n. 1-4, p. 265-286, OCT 2011.
Web of Science Citations: 3
Abstract

We give estimates of the intrinsic and the extrinsic curvature of manifolds that are isometrically immersed as cylindrically bounded submanifolds of warped products. We also address extensions of the results in the case of submanifolds of the total space of a Riemannian submersion. (AU)

FAPESP's process: 07/03192-7 - Submanifold geometry and Morse theory in finite and infinite dimensions
Grantee:Claudio Gorodski
Support Opportunities: Research Projects - Thematic Grants