Work

Spherical 2-Dupin submanifolds

Year: 2016

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.1607.08153

Authors: Di Scala, Antonio J., de Freitas, Guilherme Machado

Language: English

Topic: Advanced Differential Geometry Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2486928485

Cites: 23

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Related to: 10