Curvature estimates for graphs in warped products
Differential Geometry
2020-11-05 v1
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.
Cite
@article{arxiv.2011.02245,
title = {Curvature estimates for graphs in warped products},
author = {Alexandre Paiva Barreto and Fabiani A. Coswosck and Luiz Hartmann},
journal= {arXiv preprint arXiv:2011.02245},
year = {2020}
}