1 citations · 2 across the 6 of their papers we have counts for
6 papers
Regular Blaschke Para-Umbilical Hypersurfaces in the Conformal Space
Tongzhu Li, Changxiong Nie
In [2] we have classified the Blaschke quasi-umbilical submanifolds in the conformal space . In this paper we shall classify the Blaschke para-umbilical hypersurfa…
Blaschke Isoparametric Hypersurfaces in the Conformal Space }, II
Tongzhu Li, Changxiong Nie
Let be a regular space-like hypersurface in the conformal space . We classify all those hypersurfaces with para…
Dupin Hypersurfaces in Lorentzian Space forms
Tongzhu Li, Changxiong Nie
Similar to the definition of Dupin hypersurface in Riemannian space forms, we define the spacelike Dupin hypersurface in Lorentzian space forms. As conformal invariant objects, spa…
An Application of Maximum Principle to space-like Hypersurfaces with Constant Mean Curvature in Anti-de Sitter Space
Changxiong Nie
In this paper, we study complete hypersurfaces with constant mean curvature in anti-de Sitter space . we prove that if a complete space-like hypersurface with consta…
The Space-like Surfaces with Vanishing Conformal Form in the Conformal Space
Changxiong Nie
The conformal geometry of surfaces in the conformal space is studied. We classify the space-like surfaces in with vanishing conformal form up to con…
Regular Submanifolds in the Conformal Space
Changxiong Nie
There is a Lorenzian group acting on the conformal space . We study the regular submanifolds in the conformal space and construct general submani…