Bounded Cohomology and Geometry

Details Bounded Cohomology and Geometry Bounded Cohomology and Geometry

2005-01-17

arxiv.org/abs/math/0501258v1

Bonner Mathematische Schriften Nr. 368, Bonn 2004

Mathematics

Differential Geometry

Author's Ph.D. thesis, 126 pages

Scientific paper

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 K\"ahler 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.

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