arXiv:2011.02245 Abstract | arXiv Analytics

arXiv:2011.02245 [math.DG]Abstract References Reviews Resources

Curvature estimates for graphs in warped products

Alexandre Paiva Barreto, Fabiani A. Coswosck, Luiz Hartmann

Published 2020-11-04Version 1

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.

Categories: math.DG

Subjects: 53C42, 53A10

Keywords: curvature estimates, global upper estimates, space forms, pseudo-hyperbolic spaces, mean curvature

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