Möbius transformations and the Poincaré distance in the quaternionic setting
In the space ℍ of quaternions, we investigate the natural, invariant geometry of the open,
unit disc Δℍ and of the open half-space ℍ+. These two domains are diffeomorphic via a …
unit disc Δℍ and of the open half-space ℍ+. These two domains are diffeomorphic via a …
A characterization of conformal mappings in by R4 formal differentiability condition
RS Kraußhar, HR Malonek - Bulletin de la Société Royale des …, 2001 - popups.uliege.be
We show that conformal mappings in R 4 can be characterized by a formal differentiability
condition. The notion of differentiability described in this paper generalizes the classical …
condition. The notion of differentiability described in this paper generalizes the classical …
On the geometry of the quaternionic unit disc
In the space ℍ of quaternions, the natural invariant geometry of the open unit disc Δ H,
diffeomorphic to the open half-space H+ via a Cayleytype transformation, has been …
diffeomorphic to the open half-space H+ via a Cayleytype transformation, has been …
Geometry of a two-qubit state and intertwining quaternionic conformal mapping under local unitary transformations
In this paper the geometry of two-qubit systems under a local unitary group SO (2)⊗ SU (2) is
discussed. It is shown that the quaternionic conformal map intertwines between this local …
discussed. It is shown that the quaternionic conformal map intertwines between this local …
Conformal parametrisation of loxodromes by triples of circles
VV Kisil, J Reid - Topics in Clifford analysis: Special volume in honor of …, 2019 - Springer
We provide a parametrisation of a loxodrome by three specially arranged cycles. The
parametrisation is covariant under fractional linear transformations of the complex plane and …
parametrisation is covariant under fractional linear transformations of the complex plane and …
Potential Vector Fields in and New Generalizations of the Cauchy-Riemann System
D Bryukhov - arXiv preprint arXiv:2111.01580, 2021 - arxiv.org
This paper extends approach of recent author's paper devoted to special classes of exact
solutions of the static Maxwell system in inhomogeneous isotropic media and new …
solutions of the static Maxwell system in inhomogeneous isotropic media and new …
Quaternionic Möbius transformations and subgroups
X Wang - Complex Variables, 2003 - Taylor & Francis
Quaternionic Möbius Transformations and Subgroups Page 1 Complex Variables, Vol. 48, No.
7, July 2003, pp. 599–606 Quaternionic Mo«biusTransformations and Subgroups XIANTAO …
7, July 2003, pp. 599–606 Quaternionic Mo«biusTransformations and Subgroups XIANTAO …
[PDF][PDF] Erlangen program at large
VV Kisil - 2008 - luyenthidanang.wordpress.com
The Erlangen programme of F. Klein (influenced by S. Lie) defines geometry as a study of
invariants under a certain transitive group action. This approach proved to be fruitful much …
invariants under a certain transitive group action. This approach proved to be fruitful much …
Famílias Normais e Crescimento De Funções Polimonogénicas
R de Almeida - 2006 - search.proquest.com
Regina de Almeida Famílias Normais e Crescimento de Funções Polimonogénicas On
Normal Families and Growth Behavior of Polymo Page 1 Universidade de Aveiro 2006 …
Normal Families and Growth Behavior of Polymo Page 1 Universidade de Aveiro 2006 …