Bounded Cohomology and Geometry

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This work deals with relations between a bounded cohomological invariant and the geometry of Hermitian symmetric spaces of noncompact type. The invariant, obtained from the Kähler class, is used to define and characterize a special class of totally geodesic embeddings, called "tight embeddings". In addition, special isometric actions of finitely generated groups on Hermitian symmetric spaces are studied. Results of a joint work with M. Burger and A. Iozzi about surface group representations are also discussed.
Author's Ph.D. thesis, 126 pages

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Differential Geometry, Group Theory, 53C35; 22E40; 32M15

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http://salesiana.dossiersoluciones.com/handle/123456789/73873

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0501258
 http://arxiv.org/abs/math/0501258
 Bonner Mathematische Schriften Nr. 368, Bonn 2004

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arXiv