Advances in Pure Mathematics

Volume 11, Issue 11 (November 2021)

ISSN Print: 2160-0368   ISSN Online: 2160-0384

Google-based Impact Factor: 0.50  Citations  h5-index & Ranking

A Note on m-Möbius Transformations

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DOI: 10.4236/apm.2021.1111057    161 Downloads   723 Views  Citations
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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.

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Ghisa, D. (2021) A Note on m-Möbius Transformations. Advances in Pure Mathematics, 11, 883-890. doi: 10.4236/apm.2021.1111057.

Cited by

[1] Some Geometric Properties of the m-Möbius Transformations
Advances in Pure Mathematics, 2022
[2] Multipliers and Classification of m-Möbius Transformations
Advances in Pure Mathematics, 2022

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