Spherical 2-Dupin submanifolds
Differential Geometry
2016-07-28 v1
Abstract
We show that every spherical 2-Dupin submanifold that is not a hypersurface is conformally congruent to the standard embedding of the real, complex, quaternionic or octonionic projective plane. We also classify 2-CPC, 2-umbilical and weakly 2-umbilical submanifolds in space forms.
Keywords
Cite
@article{arxiv.1607.08153,
title = {Spherical 2-Dupin submanifolds},
author = {Antonio J. Di Scala and Guilherme Machado de Freitas},
journal= {arXiv preprint arXiv:1607.08153},
year = {2016}
}