3 papers
math.DG2023
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…
math.DG2023
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…
math.DG2022
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…