Zobrazeno 1 - 10
of 19
pro vyhledávání: '"Lenka Zalabová"'
Publikováno v:
Mathematics and Computers in Simulation. 190:474-493
We focus on the role of symmetries in geometric control theory from the Hamiltonian viewpoint. We demonstrate the power of Ian Anderson's package Differential Geometry in CAS software Maple for dealing with control problems on Lie groups. We apply th
Publikováno v:
Mathematical Methods in the Applied Sciences.
Autor:
Jan Gregorovic, Lenka Zalabová
Publikováno v:
Classical and Quantum Gravity. 40:065010
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 particular. We develop an invariant calculus that allows us to find solu
Autor:
Lenka Zalabová, Jaroslav Hrdina
Publikováno v:
Journal of Dynamical and Control Systems. 26:199-216
We study local control of a mechanism with the growth vector (4,7). We study controllability and extremal trajectories of the nilpotent approximation as an example of the control theory on a Lie group. We provide solutions to the system and show exam
Autor:
Lenka Zalabová, Jan Gregorovič
Publikováno v:
The Journal of Geometric Analysis. 29:3135-3159
We study non-degenerate CR geometries of hypersurface type that are symmetric in the sense that, at each point, there is a CR transformation reversing the CR distribution at that point. We show that such geometries are either flat or homogeneous. We
We study symmetries of specific left--invariant sub--Riemannian structure with filtration $(4,7)$ and their impact on sub--Riemannian geodesics of corresponding control problem. We show that there are two very different types of geodesics, they eithe
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::81e936bb9f830f735eb14b5aab15db46
Autor:
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 Einstein metric in the conformal class. Einstein metrics have the special pro
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::1b108686baa0737ead0c2e010553f516
http://arxiv.org/abs/2002.02199
http://arxiv.org/abs/2002.02199
Publikováno v:
Transformation Groups. 23:723-741
This is a post-peer-review, pre-copyedit version of an article published in Transformation groups. The final authenticated version is available online at: http://dx.doi.org/10.1007/s00031-017-9453-6. The symmetry dimension of a geometric structure is
Autor:
Jan Gregorovič, Lenka Zalabová
Publikováno v:
Archivum Mathematicum. :291-302
We construct a series of examples of non--flat non--homogeneous parabolic geometries that carry a symmetry of the parabolic geometry at each point.
12 pp, submitted to Archivum Mathematicum
12 pp, submitted to Archivum Mathematicum
Autor:
Jan Gregorovič, Lenka Zalabová
Publikováno v:
Archivum Mathematicum. :287-296
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 several new results for symmetric conformal geometries. In particular, we