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Título del libro: Singularities In Geometry, Topology, Foliations And Dynamics: A Celebration Of The 60th Birthday Of Jose Seade
Título del capítulo: Extending the Action of Schottky Groups on the Complex Anti-de Sitter Space to the Projective Space

Autores UNAM:
CARLOS ALFONSO CABRERA OCAÑAS; ANGEL CANO CORDERO; JOSE LUIS CISNEROS MOLINA; JAWAD SNOUSSI;
Autores externos:

Idioma:

Año de publicación:
2017
Palabras clave:

Schottky groups in higher dimensions; limit sets; complex hyperbolic spaces


Resumen:

In this article we show that if a complex Schottky group, acting on the complex anti-de Sitter space, acts on the corresponding projective space as a Schottky group, then the space has signature (k, k) : As a consequence, we are able to show the existence of complex Schottky groups, acting on P-C(n), such that the complement of whose Kulkarni's limit set is not the largest open set on which the group acts properly and discontinuously. This is the starting point towards the understanding of the notion of the role of limit sets in the higher-dimensional setting.


Entidades citadas de la UNAM: