We show four Legendrian dualities between pseudo-spheres in Minkowski space as a basic theorem. We can apply such dualities for constructing extrinsic differential geometry of spacelike hypersurfaces in pseudo-spheres. In this paper we stick to spacelike hypersurfaces in the lightcone and establish an extrinsic differential geometry which we call the {\it lightcone differential geometry.
We define the notions of lightcone Gauss images of spacelike hypersurfaces in de Sitter space. We i...
In this paper, we construct one-parameter families of new extrinsic differential geometries on space...
We consider the singularities of lightlike hypersurfaces along spacelike submanifolds in Lorentz-Min...
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 geometries on spacel...
We consider extrinsic differential geometry on spacelike hypersurfaces in Minkowski pseudo-spheres (...
In this paper, we consider one-parameter families of new extrinsic differential geometries on spacel...
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces i...
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 geome-tries on space...
In this paper we show one-parameter families of Legendrian dualities between pseudo-spheres in\ud Lo...
We show six Legendrian dualities between pseudo-spheres in semi-Euclidean space which are basic tool...
We introduce the notion of the lightcone Gauss-Kronecker curvature for a spacelike submanifold of ...
In this paper we show one-parameter families of Legendrian dualities between pseudo-spheres in Loren...
Using the Legnedrian duarities between surfaces\ud in pseudo-spheres in Lorentz-{Minkow}{ski} 4-spa...
We define the notions of lightcone Gauss images of spacelike hypersurfaces in de Sitter space. We i...
In this paper, we construct one-parameter families of new extrinsic differential geometries on space...
We consider the singularities of lightlike hypersurfaces along spacelike submanifolds in Lorentz-Min...
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 geometries on spacel...
We consider extrinsic differential geometry on spacelike hypersurfaces in Minkowski pseudo-spheres (...
In this paper, we consider one-parameter families of new extrinsic differential geometries on spacel...
This is a half survey on the classical results of extrinsic differential geometry of hypersurfaces i...
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 geome-tries on space...
In this paper we show one-parameter families of Legendrian dualities between pseudo-spheres in\ud Lo...
We show six Legendrian dualities between pseudo-spheres in semi-Euclidean space which are basic tool...
We introduce the notion of the lightcone Gauss-Kronecker curvature for a spacelike submanifold of ...
In this paper we show one-parameter families of Legendrian dualities between pseudo-spheres in Loren...
Using the Legnedrian duarities between surfaces\ud in pseudo-spheres in Lorentz-{Minkow}{ski} 4-spa...
We define the notions of lightcone Gauss images of spacelike hypersurfaces in de Sitter space. We i...
In this paper, we construct one-parameter families of new extrinsic differential geometries on space...
We consider the singularities of lightlike hypersurfaces along spacelike submanifolds in Lorentz-Min...