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Normal sub-Riemannian geodesics related to filtrations of Lie algebras
Bozidar Jovanovic, Tijana Sukilovic, Srdjan Vukmirovic
There is a natural way to construct sub-Riemannian structures that depend on parameters on compact Lie groups. These structures are related to the filtrations of Lie subalgebra…
Sub-Riemannian LR geodesic flows on Heisenberg groups
Milan Pavlovic, Tijana Sukilovic
In this paper, we study the normal geodesic flow associated with a sub-Riemannian structure corresponding to a left-invariant Riemannian metric and a right-invariant distribution (…
Geometry of cotangent bundle of Heisenberg group
Tijana Šukilović, Srđan Vukmirović
In this paper the classification of left-invariant Riemannian metrics, up to the action of the automorphism group, on cotangent bundle of (2n+1)-dimensional Heisenberg group is pre…
On the moduli spaces of left invariant metrics on cotangent bundle of Heisenberg group
Tijana Sukilovic, Srdjan Vukmirovic, Neda Bokan
The main focus of the paper is the investigation of moduli space of left invariant pseudoRiemannian metrics on the cotangent bundle of Heisenberg group. Consideration of orbits of…
Geodesically Equivalent Metrics on Homogenous Spaces
N. Bokan, T. Sukilovic, S. Vukmirovic
Two metrics on a manifold are geodesically equivalent if sets of their unparameterized geodesics coincide. In this paper we show that if two left -invariant metrics of arbitrary…