4 citations · 5 across the 8 of their papers we have counts for
8 papers
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 (…
Towards Automated Readable Proofs of Ruler and Compass Constructions
Vesna Marinković, Tijana Šukilović, Filip Marić
Although there are several systems that successfully generate construction steps for ruler and compass construction problems, none of them provides readable synthetic correctness p…
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 Automating Triangle Constructions in Absolute and Hyperbolic Geometry
Vesna Marinković, Tijana Šukilović, Filip Marić
We describe first steps towards a system for automated triangle constructions in absolute and hyperbolic geometry. We discuss key differences between constructions in Euclidean, ab…
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…
Integrable systems associated to the filtrations of Lie algebras
Bozidar Jovanovic, Tijana Sukilovic, Srdjan Vukmirovic
In 1983 Bogoyavlenski conjectured that if the Euler equations on a Lie algebra are integrable, then their certain extensions to semisimple lie algebras $\mathfrak g…
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…