Article citationsMore>>

Barza, I. and Ghisa, D. (1997) Lie Groups Actions on the Möbius Strip, Topics in Complex Analysis. In: Dimiev, S. and Sekigawa, K., Eds., Differential Geometry and Physics, World Sci, Singapore, 62-72.

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.