In this paper, I have provided a brief introduction on Möbius transformation and explored some basic properties of this kind of transformation. For instance, Möbius transformation is classified according to the invariant points. Moreover, we can see that Möbius transformation is hyperbolic isometries that form a group action PSL (2,ℜ) on the upper half plane model
AbstractLet Ra denote the half turn about the point a of the hyperbolic plane H. If the points a, b,...
An n-sided hyperbolic polygon of type (ϵ, n) is a hyperbolic polygon with ordered interior angles π2...
Abstract. We give a new invariant characteristic property of Möbius transformations
AbstractWe present a new characterization of Möbius transformations by using two classes of hyperbol...
AbstractIn this paper we present a new characterization of Möbius transformations by use of hyperbol...
Abstract. In this paper I will define the hyperbolic plane and describe and classify its isometries....
Imagine a world in which there are infinitely many lines through a single point that are all paralle...
Classical geometry bases its foundation on five postulates from Euclid. However, mathematicians were...
AbstractIn this paper, we give some invariant characteristic properties of a certain class of Möbius...
AbstractWe give some new invariant characteristic properties of Möbius transformations by means of t...
This is an undergraduate textbook covering the basics of planar hyperbolic geometry. Topics covered ...
The aim of this thesis was to examine isometries in hyperbolic space. In the rst chapter, the emer...
A model of hyperbolic plane is described and introduced on Riemann sphere. The boundary at infinity ...
Set a generalization of Möbius transformation and build a theory of inductive that may be an n-dimen...
The aim of this thesis is to give a self-contained introduction to the hyperbolic geometry and the t...
AbstractLet Ra denote the half turn about the point a of the hyperbolic plane H. If the points a, b,...
An n-sided hyperbolic polygon of type (ϵ, n) is a hyperbolic polygon with ordered interior angles π2...
Abstract. We give a new invariant characteristic property of Möbius transformations
AbstractWe present a new characterization of Möbius transformations by using two classes of hyperbol...
AbstractIn this paper we present a new characterization of Möbius transformations by use of hyperbol...
Abstract. In this paper I will define the hyperbolic plane and describe and classify its isometries....
Imagine a world in which there are infinitely many lines through a single point that are all paralle...
Classical geometry bases its foundation on five postulates from Euclid. However, mathematicians were...
AbstractIn this paper, we give some invariant characteristic properties of a certain class of Möbius...
AbstractWe give some new invariant characteristic properties of Möbius transformations by means of t...
This is an undergraduate textbook covering the basics of planar hyperbolic geometry. Topics covered ...
The aim of this thesis was to examine isometries in hyperbolic space. In the rst chapter, the emer...
A model of hyperbolic plane is described and introduced on Riemann sphere. The boundary at infinity ...
Set a generalization of Möbius transformation and build a theory of inductive that may be an n-dimen...
The aim of this thesis is to give a self-contained introduction to the hyperbolic geometry and the t...
AbstractLet Ra denote the half turn about the point a of the hyperbolic plane H. If the points a, b,...
An n-sided hyperbolic polygon of type (ϵ, n) is a hyperbolic polygon with ordered interior angles π2...
Abstract. We give a new invariant characteristic property of Möbius transformations