TITLE:
A Note on m-Möbius Transformations
AUTHORS:
Dorin Ghisa
KEYWORDS:
Möbius Transformation, Complex Manifold, Lie Group
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.11 No.11,
November
23,
2021
ABSTRACT: Lie groups of bi-Möbius transformations are known and their actions on non orientable n-dimensional complex manifolds have been studied. In this paper, m-Möbius transformations are introduced and similar problems as those related to bi-Möbius transformations are tackled. In particular, it is shown that the subgroup generated by every m-Möbius transformation is a discrete group. Cyclic subgroups are exhibited. Vector valued m-Möbius transformations are also studied.