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math.DG2012
Geometric structures invariant to symmetries
Jan Gregorovič
We introduce and discuss (local) symmetries of geometric structures. These symmetries generalize the classical (locally) symmetric spaces to various other geometries. Our main tool…
math.DG2012★ 9 cited
General construction of symmetric parabolic structures
Jan Gregorovič
First we introduce a generalization of symmetric spaces to parabolic geometries. We provide construction of such parabolic geometries starting with classical symmetric spaces and w…
math.DG2012★ 2 cited
Local reflexion spaces
Jan Gregorovič
A reflexion space is generalization of a symmetric space introduced by O. Loos. We generalize locally symmetric spaces to local reflexion spaces in the similar way. We investigate,…