Isometric immersions with flat normal bundle between space forms
Differential Geometry
2020-08-11 v1
Abstract
We investigate the behavior of the second fundamental form of an isometric immersion of a space form with negative curvature into a space form so that the extrinsic curvature is negative. If the immersion has flat normal bundle, we prove that its second fundamental form grows exponentially.
Keywords
Cite
@article{arxiv.2008.03929,
title = {Isometric immersions with flat normal bundle between space forms},
author = {M. Dajczer and C. -R. Onti and Th. Vlachos},
journal= {arXiv preprint arXiv:2008.03929},
year = {2020}
}