3 papers
math.DG2024
Strongly invariant differential operators on parabolic geometries modelled on
Jan Slovák, Vladimír Souček
We consider the curved geometries modelled on the homogeneous space , where acts transitively on the Grassmannian of three-dimensional subspaces…
math.DG2024
Semiholonomic jets and induced modules in Cartan geometry calculus
Jan Slovák, Vladimír Souček
The famous Erlangen Programme was coined by Felix Klein in 1872 as an algebraic approach allowing to incorporate fixed symmetry groups as the core ingredient for geometric analysis…
math.DG2017
On the existence of local quaternionic contact geometries
Ivan Minchev, Jan Slovák
We exploit the Cartan-Kähler theory to prove the local existence of real analytic quaternionic contact structures for any prescribed values of the respective curvature functions an…