Add to ORKGAbstract. We consider the singularities of lightlike hypersurfaces along spacelike submanifolds with general codimension in de Sitter space. As an application of the theory of Legendrian singularities, we investigate the geometric meanings of the singularities of lightlike hypersurfaces from the viewpoint of the contact of spacelike submanifolds with de Sitter lightcones
The Lorentzian space form with the positive curvature is called de Sitter space which is an importa...
We show four Legendrian dualities between pseudo-spheres in Minkowski space as a basic theorem. We c...
In this paper, we consider one-parameter families of new extrinsic differential geome-tries on space...
We investigate the differential geometry of spacelike submanifolds of codimension at\ud least two in...
We consider the singularities of lightlike hypersurfaces along spacelike submanifolds in Lorentz-Min...
We construct a basic framework for the study of extrinsic differential geometry on timelike hypersu...
In this paper, we consider one-parameter families of new extrinsic differential geometries on spacel...
We define the notions of lightcone Gauss images of spacelike hypersurfaces in de Sitter space. We in...
We introduce the notion of the lightcone Gauss-Kronecker curvature for a spacelike submanifold of ...
The Lorentzian space form with the positive curvature is called de Sitter space which is an importan...
We study the differential geometry of spacelike surfaces in Anti de Sitter 3-space from the view poi...
We show four Legendrian dualities between pseudo-spheres in Minkowski space as a basic theorem. We c...
In this paper, we construct one-parameter families of new extrinsic differential geometries on space...
We define the notions of $S_t^1¥times S_s^2$-nullcone Legendrian Gauss maps and $S^2_+$-nullcone Lag...
The lightlike hypersurfaces in Lorentz-Minkowski space are of special interest in Relativity Theory....
The Lorentzian space form with the positive curvature is called de Sitter space which is an importa...
We show four Legendrian dualities between pseudo-spheres in Minkowski space as a basic theorem. We c...
In this paper, we consider one-parameter families of new extrinsic differential geome-tries on space...
We investigate the differential geometry of spacelike submanifolds of codimension at\ud least two in...
We consider the singularities of lightlike hypersurfaces along spacelike submanifolds in Lorentz-Min...
We construct a basic framework for the study of extrinsic differential geometry on timelike hypersu...
In this paper, we consider one-parameter families of new extrinsic differential geometries on spacel...
We define the notions of lightcone Gauss images of spacelike hypersurfaces in de Sitter space. We in...
We introduce the notion of the lightcone Gauss-Kronecker curvature for a spacelike submanifold of ...
The Lorentzian space form with the positive curvature is called de Sitter space which is an importan...
We study the differential geometry of spacelike surfaces in Anti de Sitter 3-space from the view poi...
We show four Legendrian dualities between pseudo-spheres in Minkowski space as a basic theorem. We c...
In this paper, we construct one-parameter families of new extrinsic differential geometries on space...
We define the notions of $S_t^1¥times S_s^2$-nullcone Legendrian Gauss maps and $S^2_+$-nullcone Lag...
The lightlike hypersurfaces in Lorentz-Minkowski space are of special interest in Relativity Theory....
The Lorentzian space form with the positive curvature is called de Sitter space which is an importa...
We show four Legendrian dualities between pseudo-spheres in Minkowski space as a basic theorem. We c...
In this paper, we consider one-parameter families of new extrinsic differential geome-tries on space...