3 citations · 9 across the 6 of their papers we have counts for
9 papers
First BGG operators on homogeneous conformal geometries
Jan Gregorovič, Lenka Zalabová
We study first BGG operators and their solutions on homogeneous conformal geometries. We focus on conformal Killing tensors, conformal Killing--Yano forms and twistor spinors in pa…
First BGG operators via homogeneous examples
Jan Gregorovič, Lenka Zalabová
We review the theory of first BGG operators and study how to approach them and find their solution on homogeneous geometries. We provide many new examples of parabolic geometries t…
On symmetries of a sub--Riemannian structure with growth vector
Jaroslav Hrdina, Aleš Návrat, Lenka Zalabová
We study symmetries of specific left--invariant sub--Riemannian structure with filtration and their impact on sub--Riemannian geodesics of corresponding control problem. We…
Special metrics and scales in parabolic geometry
Michael Eastwood, Lenka Zalabová
Given a parabolic geometry, it is sometimes possible to find special metrics characterised by some invariant conditions. In conformal geometry, for example, one asks for an Einstei…
Local Generalized Symmetries and Locally Symmetric Parabolic Geometries
Jan Gregorovič, Lenka Zalabová
We investigate (local) automorphisms of parabolic geometries that generalize geodesic symmetries. We show that many types of parabolic geometries admit at most one generalized geod…
A construction of non--flat non--homogeneous symmetric parabolic geometries
Jan Gregorovič, Lenka Zalabová
We construct a series of examples of non--flat non--homogeneous parabolic geometries that carry a symmetry of the parabolic geometry at each point.
Notes on symmetric conformal geometries
Jan Gregorovič, Lenka Zalabová
In this article, we summarize the results on symmetric conformal geometries. We review the results following from the general theory of symmetric parabolic geometries and prove sev…
Geometric properties of homogeneous parabolic geometries with generalized symmetries
Jan Gregorovič, Lenka Zalabová
We investigate geometric properties of homogeneous parabolic geometries with generalized symmetries. We show that they can be reduced to a simpler geometric structures and interpre…
On automorphisms with natural tangent actions on homogeneous parabolic geometries
Jan Gregorovič, Lenka Zalabová
We consider automorphisms of homogeneous parabolic geometries with a fixed point. Parabolic geometries carry the distinguished distributions and we study those automorphisms which…