Bounded Cohomology and Geometry
Differential Geometry
2007-05-23 v1 Group Theory
Abstract
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.
Cite
@article{arxiv.math/0501258,
title = {Bounded Cohomology and Geometry},
author = {Anna Wienhard},
journal= {arXiv preprint arXiv:math/0501258},
year = {2007}
}
Comments
Author's Ph.D. thesis, 126 pages