Curvature estimates for submanifolds in warped products
Differential Geometry
2010-09-20 v1
Abstract
We give estimates on 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.
Keywords
Cite
@article{arxiv.1009.3467,
title = {Curvature estimates for submanifolds in warped products},
author = {L. J. Alias and G. P. Bessa and J. F. Montenegro and P. Piccione},
journal= {arXiv preprint arXiv:1009.3467},
year = {2010}
}
Comments
21 pages