16 citations · 52 across the 15 of their papers we have counts for
15 papers
Complete self-shrinkers with bounded the second fundamental form in
Yayun Chen, Tongzhu Li
Let be a complete properly immersed self-shrinker. In this paper, we prove that if the squared norm of the second fundamental form satisfies $1\leq…
Möbius Homogeneous Hypersurfaces in
Tongzhu Li, Xiang Ma, Changping Wang +1
Let denote the Möbius transformation group of the -dimensional sphere . A hypersurface is called…
A Möbius scalar curvature rigidity on compact conformally flat hypersurfaces in
Limiao Lin, Tongzhu Li, Changping Wang
In this paper, we study conformally flat hypersurfaces of dimension in using the framework of Möbius geometry. First, we classify and explicitly expr…
Generic conformally flat hypersurfaces in
Xiu Ji, Tongzhu Li
In this paper, we study generic conformally flat hypersurfaces in the Euclidean -space using the framework of Möbius geometry. First, we classify locally the gene…
Para Blaschke isoparametric spacelike hypersurfaces in Lorentzian space forms
Xiu Ji, Tongzhu Li, Huafei Sun
Let be an -dimensional umbilic-free hypersurface in the -dimensional Lorentzian space form . Three basic invariants of under the conformal trans…
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…
Möbius and Laguerre geometry of Dupin Hypersurfaces
Tongzhu Li, Jie Qing, Changping Wang
In this paper we show that a Dupin hypersurface with constant Möbius curvatures is Möbius equivalent to either an isoparametric hypersurface in the sphere or a cone over an isopara…
Moebius geometry of three dimensional Wintgen ideal submanifolds in S^5
Zhenxiao Xie, Tongzhu Li, Xiang Ma +1
Wintgen ideal submanifolds in space forms are those ones attaining equality at every point in the so-called DDVV inequality which relates the scalar curvature, the mean curvature a…
Classification of Moebius homogeneous Wintgen ideal submanifolds
Tongzhu Li, Xiang Ma, Changping Wang +1
A submanifold in a real space form attaining equality in the DDVV inequality at every point is called a Wintgen ideal submanifold. They are invariant objects under the Moebius tran…
Wintgen ideal submanifolds of codimension two, complex curves, and Moebius geometry
Tongzhu Li, Xiang Ma, Changping Wang +1
Wintgen ideal submanifolds in space forms are those ones attaining equality pointwise in the so-called DDVV inequality which relates the scalar curvature, the mean curvature and th…
Wintgen ideal submanifolds with a low-dimensional integrable distribution (I)
Tongzhu Li, Xiang Ma, Changping Wang
A submanifold in space forms satisfies the well-known DDVV inequality due to De Smet, Dillen, Verstraelen and Vrancken. The submanifold attaining equality in the DDVV inequality at…
Deformation of Hypersurfaces Preserving the Moebius Metric and a Reduction Theorem
Tongzhu Li, Xiang Ma, Changping Wang
A hypersurface without umbilics in the n+1 dimensional Euclidean space is known to be determined by the Moebius metric and the Moebius second fundamental form up to a Moebius trans…
Laguerre Geometry of Hypersurfaces in
Tongzhu Li, Changping Wang
Laguerre geometry of surfaces in is given in the book of Blaschke [1], and have been studied by E.Musso and L.Nicolodi [5], [6], [7], B. Palmer [8] and other authors. In thi…