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Barza I. and Ghisa, D. (2020) Lie Groups Actions on Non Orientable Klein Surfaces. In: Dobrev, V., Ed., Lie Theory and Its Applications in Physics, Springer, Singapore, Vol. 335, 421-428.
https://doi.org/10.1007/978-981-15-7775-8_33

has been cited by the following article:

• 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.