We show that spacelike S-Willmore surfaces are the only spacelike Willmore surfaces with a duality in Lorentzian space forms. We obtain a classification of S-Willmore spheres in Lorentzian conformal space forms. Such a sphere must be congruent to either a complete spacelike stationary ( EH = 0) surface in Rn1; a super-Willmore sphere in S 2m+2; or a polar transform of a ( j − 1)-isotropic complete spacelike stationary ( EH = 0) surface in R2 j+21. We also show that all Willmore spheres in Q41 are conformal to a complete spacelike stationary surface in R41. 1
We study fundamental properties of spacelike surfaces with harmonic inverse mean curvature in Lorent...
Using moving frame method, we study the Mobius geometry of a pair of conformally immersed surfaces i...
AbstractIn this work we first study spacelike surfaces in the Minkowski space which are minimal or h...
Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms, a topic in Lorentzian conformal...
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
Let R-1(3) be the Lorentzian 3-space with inner product (,). Let Q(3) be the conformal compactificat...
Abstract. Let Nn+pp (c) be an (n+p)-dimensional connected Lorentzian space form of con-stant section...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
Let Q(3) be the common conformal compactification space of the Lorentzian space forms R-1(3), S-1(3)...
The conformal geometry of spacelike surfaces in 4-dim Lorentzian space forms has been studied by the...
Abstract. It is well known that any totally geodesic hypersurface is a Will-more hypersurface. In [1...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
The conformal geometry of surfaces recently developed by the authors leads to a unified understandin...
In this survey paper we implement the method of moving frames to the Lorentzian setting. As an appli...
We study fundamental properties of spacelike surfaces with harmonic inverse mean curvature in Lorent...
Using moving frame method, we study the Mobius geometry of a pair of conformally immersed surfaces i...
AbstractIn this work we first study spacelike surfaces in the Minkowski space which are minimal or h...
Spacelike Willmore surfaces in 4-dimensional Lorentzian space forms, a topic in Lorentzian conformal...
The classification of Willmore two-spheres in the n-dimensional sphere S-n is a long-standing proble...
Let R-1(3) be the Lorentzian 3-space with inner product (,). Let Q(3) be the conformal compactificat...
Abstract. Let Nn+pp (c) be an (n+p)-dimensional connected Lorentzian space form of con-stant section...
We study Willmore surfaces of constant Mobius curvature Kappa in S-4. It is proved that such a surfa...
Let Q(3) be the common conformal compactification space of the Lorentzian space forms R-1(3), S-1(3)...
The conformal geometry of spacelike surfaces in 4-dim Lorentzian space forms has been studied by the...
Abstract. It is well known that any totally geodesic hypersurface is a Will-more hypersurface. In [1...
We view conformal surfaces in the 4-sphere as quaternionic holomorphic curves in quaternionic projec...
We use an isotropic harmonic map representation of Willmore sur-faces to solve the analogue of Björ...
The conformal geometry of surfaces recently developed by the authors leads to a unified understandin...
In this survey paper we implement the method of moving frames to the Lorentzian setting. As an appli...
We study fundamental properties of spacelike surfaces with harmonic inverse mean curvature in Lorent...
Using moving frame method, we study the Mobius geometry of a pair of conformally immersed surfaces i...
AbstractIn this work we first study spacelike surfaces in the Minkowski space which are minimal or h...