Regular Blaschke Para-Umbilical Hypersurfaces in the Conformal Space ${\mathbb Q}^n_s$

Tongzhu Li; Changxiong Nie

Regular Blaschke Para-Umbilical Hypersurfaces in the Conformal Space ${\mathbb Q}^n_s$

Differential Geometry 2015-12-15 v1

Authors: Tongzhu Li , Changxiong Nie

Abstract

In [2] we have classified the Blaschke quasi-umbilical submanifolds in the conformal space ${\mathbb Q}^n_s$ . In this paper we shall classify the Blaschke para-umbilical hypersurfaces in the conformal space ${\mathbb Q}^n_s$ . That may be also considered as the extension of the classification of the conformal isotropic submanifolds in the conformal space ${\mathbb Q}^n_s$ .

Keywords

conformal space Blaschke para-umbilical hypersurface classification quasi-umbilical isotropic submanifold differential geometry

Cite

@article{arxiv.1512.04158,
  title  = {Regular Blaschke Para-Umbilical Hypersurfaces in the Conformal Space ${\mathbb Q}^n_s$},
  author = {Tongzhu Li and Changxiong Nie},
  journal= {arXiv preprint arXiv:1512.04158},
  year   = {2015}
}

Comments

15 pages

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