Horocyclic surfaces are surfaces in hyperbolic 3-space that are foliated by horocycles. We construct horocyclic surfaces associated with spacelike curves in the lightcone and investigate their geometric properties. In particular, we classify their singularities using invariants of corresponding spacelike curves
This dissertation consists of three parts. The first part is an assortment of results about the geom...
Abstract. In this paper we construct a new class of algebraic surfaces in three-dimensional Euclidea...
Abstract We classify surfaces in 3-dimensional space forms which have all the local conformal invari...
Recently we discovered a new geometry on submanifolds in hyperbolic n-space which is called horosphe...
Recently we discovered a new geometry on submanifolds in hyperbolic $n$-space which is called {\it h...
There are two important classes of surfaces in the hyperbolic space. One of class consists of extrin...
We consider the contact between curves and horospheres in Hyperbolic 3-space as an application of si...
We study in this paper orthogonal projections of embedded surfaces $M$ in $H^3_+(-1)$ along horocycl...
In the first part (§2, §3), we give a survey of the recent results on application of singularity the...
AbstractWe construct examples of flat surfaces in H3 which are graphs over a two-punctured horospher...
We give a complete description of the flat surfaces in hyperbolic 3-space that are regularly embedde...
We study some geometrical properties associated to the contacts of surfaces with hyperhorospheres in...
We consider hyperbolic rotation (G 0), hyperbolic translation (G 1), and horocyclic rotation (G 2) g...
We study in this paper orthogonal projections in a hyperbolic space to hyperhoro-spheres and hyperpl...
Abstract. We research in this study conformal surfaces of revolution in hyperbolic 3-spaceH3(??c2). ...
This dissertation consists of three parts. The first part is an assortment of results about the geom...
Abstract. In this paper we construct a new class of algebraic surfaces in three-dimensional Euclidea...
Abstract We classify surfaces in 3-dimensional space forms which have all the local conformal invari...
Recently we discovered a new geometry on submanifolds in hyperbolic n-space which is called horosphe...
Recently we discovered a new geometry on submanifolds in hyperbolic $n$-space which is called {\it h...
There are two important classes of surfaces in the hyperbolic space. One of class consists of extrin...
We consider the contact between curves and horospheres in Hyperbolic 3-space as an application of si...
We study in this paper orthogonal projections of embedded surfaces $M$ in $H^3_+(-1)$ along horocycl...
In the first part (§2, §3), we give a survey of the recent results on application of singularity the...
AbstractWe construct examples of flat surfaces in H3 which are graphs over a two-punctured horospher...
We give a complete description of the flat surfaces in hyperbolic 3-space that are regularly embedde...
We study some geometrical properties associated to the contacts of surfaces with hyperhorospheres in...
We consider hyperbolic rotation (G 0), hyperbolic translation (G 1), and horocyclic rotation (G 2) g...
We study in this paper orthogonal projections in a hyperbolic space to hyperhoro-spheres and hyperpl...
Abstract. We research in this study conformal surfaces of revolution in hyperbolic 3-spaceH3(??c2). ...
This dissertation consists of three parts. The first part is an assortment of results about the geom...
Abstract. In this paper we construct a new class of algebraic surfaces in three-dimensional Euclidea...
Abstract We classify surfaces in 3-dimensional space forms which have all the local conformal invari...
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