Zobrazeno 1 - 10
of 33
pro vyhledávání: '"Šukilović, Tijana"'
Autor:
Pavlovic, Milan, Sukilovic, Tijana
In this paper, we study two different classes of normal geodesic flows corresponding to the left-invariant sub-Riemannian metric on the $(2n+1)$-dimensional Heisenberg group. The first class corresponds to the left-invariant distribution, while the s
Externí odkaz:
http://arxiv.org/abs/2404.06586
Publikováno v:
EPTCS 398, 2024, pp. 11-20
Although there are several systems that successfully generate construction steps for ruler and compass construction problems, none of them provides readable synthetic correctness proofs for generated constructions. In the present work, we demonstrate
Externí odkaz:
http://arxiv.org/abs/2401.13700
Autor:
Šukilović, Tijana, Vukmirović, Srđan
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 presented. Also, it is proved that the complex structure on that group is
Externí odkaz:
http://arxiv.org/abs/2203.15385
Publikováno v:
EPTCS 352, 2021, pp. 14-26
We describe first steps towards a system for automated triangle constructions in absolute and hyperbolic geometry. We discuss key differences between constructions in Euclidean, absolute and hyperbolic geometry, compile a list of primitive constructi
Externí odkaz:
http://arxiv.org/abs/2201.00534
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 the automorphism group naturally acting on the space of the left invar
Externí odkaz:
http://arxiv.org/abs/2109.00447
Publikováno v:
Regular and Chaotic Dynamics, Vol. 28 (2023) pp. 44-61
In 1983 Bogoyavlenski conjectured that if the Euler equations on a Lie algebra $\mathfrak g_0$ are integrable, then their certain extensions to semisimple lie algebras $\mathfrak g$ related to the filtrations of Lie algebras $\mathfrak g_0\subset \ma
Externí odkaz:
http://arxiv.org/abs/1912.03199
Autor:
Šukilović, Tijana, Vukmirović, Srđan
Publikováno v:
In Differential Geometry and its Applications June 2023 88
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Autor:
Šukilović Tijana
Publikováno v:
Theoretical and Applied Mechanics, Vol 47, Iss 2, Pp 181-204 (2020)
In this paper the complete classification of left invariant metrics of arbitrary signature on solvable Lie groups is given. By identifying the Lie algebra with the algebra of left invariant vector fields on the corresponding Lie group 𝐺, the in
Externí odkaz:
https://doaj.org/article/7a1cc2d3efbe44fbb2653eb8503e42b3
Akademický článek
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