Geometric Structures Invariant to Symmetries - Couverture souple

Gregorovič, Jan

 
9788021060104: Geometric Structures Invariant to Symmetries

Synopsis

The author introduces and discusses (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. Our main tools are homogeneous Cartan geometries and their explicit description. This allows us to describe the structure of symmetric geometric structures and to provide a general construction of such structures. Since we can w the classical (locally) symmetric spaces as special case, this allows us to classify various geometric structures on semisimple symmetric spaces. Then he investigates the case of symmetric parabolic geometries in detail and obtain classification of symmetric AHS-structures and symmetric parabolic contact geometries in the semisimple cases.

Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.