Spherical 2-Dupin submanifolds
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.
- Publication:
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arXiv e-prints
- Pub Date:
- July 2016
- DOI:
- 10.48550/arXiv.1607.08153
- arXiv:
- arXiv:1607.08153
- Bibcode:
- 2016arXiv160708153D
- Keywords:
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- Mathematics - Differential Geometry