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A Note on <i>m</i>-Möbius Transformations
York University, Toronto, Canada
- 1 York University, Toronto, Canada
Advances in Pure Mathematics·Volume 11 (2021)·Pages 883–890·Published 23 November 2021·DOI10.4236/apm.2021.1111057
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Abstract
Lie groups of bi-M ö bius transformations are known and their actions on non orientable n -dimensional complex manifolds have been studied. In this paper, m -M ö bius transformations are introduced and similar problems as those related to bi-M ö bius transformations are tackled. In particular, it is shown that the subgroup generated by every m -M ö bius transformation is a discrete group. Cyclic subgroups are exhibited. Vector valued m -M ö bius transformations are also studied.
KeywordsMöbius TransformationComplex ManifoldLie Group
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