7 citations · 7 across the 4 of their papers we have counts for
5 papers
The Jacobi-orthogonality in indefinite scalar product spaces
Katarina Lukić
We generalize the property of Jacobi-orthogonality to indefinite scalar product spaces. We compare various principles and investigate relations between Osserman, Jacobi-dual, and J…
The Orthogonality Principle for Osserman Manifolds
Vladica Andrejić, Katarina Lukić
We introduce a new potential characterization of Osserman algebraic curvature tensors. An algebraic curvature tensor is Jacobi-orthogonal if hol…
Integrable systems in cosymplectic geometry
Bozidar Jovanovic, Katarina Lukic
Motivated by the time-dependent Hamiltonian dynamics, we extend the notion of Arnold-Liouville and noncommutative integrability of Hamiltonian systems on symplectic manifolds to th…
On the existence of a curvature tensor for given Jacobi operators
Vladica Andrejić, Katarina Lukić
It is well known that the Jacobi operators completely determine the curvature tensor. The question of existence of a curvature tensor for given Jacobi operators naturally arises, w…
On quasi-Clifford Osserman curvature tensors
Vladica Andrejić, Katarina Lukić
We consider pseudo-Riemannian generalizations of Osserman, Clifford, and the duality principle properties for algebraic curvature tensors and investigate relations between them. We…