Geometric structures invariant to symmetries

Investor logo

Warning

This publication doesn't include Faculty of Economics and Administration. It includes Faculty of Science. Official publication website can be found on muni.cz.
Authors

GREGOROVIČ Jan

Year of publication 2012
Type Monograph
MU Faculty or unit

Faculty of Science

Citation
Description The aim of this book is to generalize symmetric spaces to several geometric strctures. The first and third chapter of this work contain description of several geometric structures, for which we want to define the symmetries. This is done in the second chapter and at the end end of the third chapter. The second chapter also explains, how the classical symmetric spaces fit in our approach, and investigates geometric structures on symmetric spaces. In the fourth and fifth chapters, we investigate and construct examples of symmetric parabolic geometries in the simplest cases. In fact, we obtain classification of non-flat symmetric AHS-structures and parabolic contact structures in the case when the groups generated by the symmetries are semisimple, and we explicitly construct many of them. For the convenience of the reader, the appendices display tables containing the classification of simple symmetric spaces and tables containing the gradings associated to the parabolic geometries, which we are investigating.
Related projects:

You are running an old browser version. We recommend updating your browser to its latest version.