Add to ORKGIn this paper, we consider a special class of the surfaces in 3-sphere dened by one-parameter families of great circles. We give a generic classication of singularities of such surfaces and investigate the geometric meanings from the view point of spherical geometry.
We prove that the class of regular saddle surfaces in the hyperbolic or spherical three-space coinci...
Singularity theory is a significant field of modern mathematical research. The main goal in most pro...
Abstract. We will classify compact, connected surfaces into three classes: the sphere, the connected...
AbstractIn this paper, we consider a special class of the surfaces in the 3-sphere defined by one-pa...
In this paper, we consider a special class of the surfaces in 3-sphere de ned by oneparameter famili...
A circular surface is a one-parameter family of standard circles in R3. In this paper some correspon...
We classify surfaces in 3-space that carry at least 2 families of real circles. Equiv-alently, we cl...
In this paper, we consider the curves on the surface in the unit 3-sphere. For a regular curve on a ...
Abstract. In this paper we define and construct a new class of algebraic surfaces in three-dimension...
We introduce the notion of special spherical symmetry and classify the complete regular minimal ...
Abstract. In this paper we construct a new class of algebraic surfaces in three-dimensional Euclidea...
Recently we discovered a new geometry on submanifolds in hyperbolic n-space which is called horosphe...
The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A spacelike ci...
In this paper, a family of ruled surfaces generated by some special curves using a Frenet frame of t...
AbstractIn this paper, a family of ruled surfaces generated by some special curves using a Frenet fr...
We prove that the class of regular saddle surfaces in the hyperbolic or spherical three-space coinci...
Singularity theory is a significant field of modern mathematical research. The main goal in most pro...
Abstract. We will classify compact, connected surfaces into three classes: the sphere, the connected...
AbstractIn this paper, we consider a special class of the surfaces in the 3-sphere defined by one-pa...
In this paper, we consider a special class of the surfaces in 3-sphere de ned by oneparameter famili...
A circular surface is a one-parameter family of standard circles in R3. In this paper some correspon...
We classify surfaces in 3-space that carry at least 2 families of real circles. Equiv-alently, we cl...
In this paper, we consider the curves on the surface in the unit 3-sphere. For a regular curve on a ...
Abstract. In this paper we define and construct a new class of algebraic surfaces in three-dimension...
We introduce the notion of special spherical symmetry and classify the complete regular minimal ...
Abstract. In this paper we construct a new class of algebraic surfaces in three-dimensional Euclidea...
Recently we discovered a new geometry on submanifolds in hyperbolic n-space which is called horosphe...
The approach of the paper is on spacelike circular surfaces in the Minkowski 3-space. A spacelike ci...
In this paper, a family of ruled surfaces generated by some special curves using a Frenet frame of t...
AbstractIn this paper, a family of ruled surfaces generated by some special curves using a Frenet fr...
We prove that the class of regular saddle surfaces in the hyperbolic or spherical three-space coinci...
Singularity theory is a significant field of modern mathematical research. The main goal in most pro...
Abstract. We will classify compact, connected surfaces into three classes: the sphere, the connected...