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Curvature estimates for graphs in warped product spaces

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Author(s):
Barreto, Alexandre P. ; Coswosck, Fabiani A. ; Hartmann, Luiz
Total Authors: 3
Document type: Journal article
Source: DIFFERENTIAL GEOMETRY AND ITS APPLICATIONS; v. 86, p. 21-pg., 2023-01-13.
Abstract

We prove local and global upper estimates for the infimum of the mean curvature, the scalar curvature and the norm of the shape operator of graphs in a warped product space. Using these estimates, we obtain some results on pseudo-hyperbolic spaces and space forms.(c) 2022 Elsevier B.V. All rights reserved. (AU)

FAPESP's process: 21/09534-4 - Global analysis on pseudomanifolds
Grantee:Luiz Roberto Hartmann Junior
Support Opportunities: Regular Research Grants
FAPESP's process: 18/03721-4 - Weingarten Surfaces, Self-Shrinkers and Hyperbolic Surfaces
Grantee:Alexandre Paiva Barreto
Support Opportunities: Regular Research Grants
FAPESP's process: 18/23202-1 - Spectral invariants on pseudomanifolds
Grantee:Luiz Roberto Hartmann Junior
Support Opportunities: Regular Research Grants