AbstractIn the hyperbolic plane Möbius transformations can be characterized by Lambert quadrilaterals, i.e., a continuous bijection which maps Lambert quadrilaterals to Lambert quadrilaterals must be Möbius. In this paper we generalize this result to the case of polygons with n sides having type A, that is, having exactly two non-right interior angle
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...
International audienceThe memoir Theorie der Parallellinien (1766) by Johann Heinrich Lambert is one...
AbstractIn the hyperbolic plane Möbius transformations can be characterized by Lambert quadrilateral...
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...
In this paper, we present new characterizations of Möbius transformations and conjugate Möbius trans...
An n-sided hyperbolic polygon of type (ϵ, n) is a hyperbolic polygon with ordered interior angles π2...
In this paper, I have provided a brief introduction on Möbius transformation and explored some basic...
Without claiming any kind of continuity we show that an absolute geometry has either a singular, a h...
The various types of plane quadrilaterals are characterized by their side and diagonal lengths. Pant...
The first example of a closed orientable hyperbolic 3-manifold was constructed by F. Lobell in 1931 ...
In this paper we will show that if the long diagonals of a 2n-polygon with equal angles meet at one ...
We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyp...
Let ${\rm I\!E}$ be a quadratic extension of ${\rm I\!F}$ where the characteristic of ${\rm I\!F}$ i...
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...
International audienceThe memoir Theorie der Parallellinien (1766) by Johann Heinrich Lambert is one...
AbstractIn the hyperbolic plane Möbius transformations can be characterized by Lambert quadrilateral...
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...
In this paper, we present new characterizations of Möbius transformations and conjugate Möbius trans...
An n-sided hyperbolic polygon of type (ϵ, n) is a hyperbolic polygon with ordered interior angles π2...
In this paper, I have provided a brief introduction on Möbius transformation and explored some basic...
Without claiming any kind of continuity we show that an absolute geometry has either a singular, a h...
The various types of plane quadrilaterals are characterized by their side and diagonal lengths. Pant...
The first example of a closed orientable hyperbolic 3-manifold was constructed by F. Lobell in 1931 ...
In this paper we will show that if the long diagonals of a 2n-polygon with equal angles meet at one ...
We study some characterizations of hyperbolic geometry in the Poincaré disk. We first obtain the hyp...
Let ${\rm I\!E}$ be a quadratic extension of ${\rm I\!F}$ where the characteristic of ${\rm I\!F}$ i...
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...
International audienceThe memoir Theorie der Parallellinien (1766) by Johann Heinrich Lambert is one...