28 citations · 30 across the 7 of their papers we have counts for
7 papers
Geometric structures on the tangent bundle of the Einstein spacetime
Josef Janyška
We describe conditions under which a spacetime connection and a scaled Lorentzian metric define natural symplectic and Poisson structures on the tangent bundle of the Einstein spac…
Graded Lie algebra of Hermitian tangent valued forms
Josef Janyška, Marco Modugno
In the theory of so called "Covariant Quantum Mechanics" a basic role is played by Hermitian vector fields on a complex line bundle in the frameworks of Galilei and Einstein spacet…
Natural connections given by general linear and classical connections
Josef Janyška
We assume a vector bundle with a general linear connection and a classical linear connection $\Lam$ on . We prove that all classical linear connections on the to…
On the geometry of variational calculus on some functional bundles
Antonella Cabras, Josef Janyška, Ivan Kolář
We first generalize the operation of formal exterior differential in the case of finite dimensional fibered manifolds and then we extend it to certain bundles of smooth maps. In or…
Functorial prolongations of some functional bundles
Antonella Cabras, Josef Janyška, Ivan Kolář
We discuss two kinds of functorial prolongations of the functional bundle of all smooth maps between the fibers over the same base point of two fibered manifolds over the same base…
Higher order reduction theorems for general linear connections
Josef Janyška
The reduction theorems for general linear and classical connections are generalized for operators with values in higher order gauge-natural bundles. We prove that natural operators…