Abstract
In this article, using techniques of Lie groups and dynamical systems, it is shown that lattices of a family of split solvable subgroups of PSL(N+1,C) are complex Kleinian. Also, it is shown that there exists a minimal limit set for the action of these lattices on the complex projective space and that there are exactly two maximal discontinuity regions.
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Funding
The research of W. Barrera was partially supported by Conacyt-SNI 45382, Conacyt Ciencia de Frontera 21100. The research of R. García was supported by Conacyt Ciencia de Frontera 21100. The research of J. P. Navarrete was partially supported by Conacyt-SNI 35874, Conacyt Ciencia de Frontera 21100.
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Barrera, W., Garcia, R. & Navarrete, J.P. A Family of Complex Kleinian Split Solvable Groups. Bull Braz Math Soc, New Series 53, 1277–1289 (2022). https://doi.org/10.1007/s00574-022-00303-x
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DOI: https://doi.org/10.1007/s00574-022-00303-x