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pro vyhledávání: '"Constantinescu, Oana"'
Autor:
Bucataru, Ioan, Constantinescu, Oana
Publikováno v:
International Journal of Mathematics, Vol. 35, No. 06, 2450016 (2024)
We prove that various Finsler metrizability problems for sprays can be reformulated in terms of the geodesic invariance of two tensors (metric and angular). We show that gyroscopic sprays is the the largest class of sprays with geodesic invariant ang
Externí odkaz:
http://arxiv.org/abs/2303.14987
Publikováno v:
Annals of Global Analysis and Geometry, 62 (2022), no. 4, 815 - 827
We prove that in a Finsler manifold with vanishing $\chi$-curvature (in particular with constant flag curvature) some non-Riemannian geometric structures are geodesically invariant and hence they induce a set of non-Riemannian first integrals. Two al
Externí odkaz:
http://arxiv.org/abs/2204.05678
Publikováno v:
Journal of Geometry and Physics Volume 166, August 2021, 104254
We use two non-Riemannian curvature tensors, the $\chi$-curvature and the mean Berwald curvature to characterise a class of Finsler metrics admitting first integrals.
Externí odkaz:
http://arxiv.org/abs/2101.11876
Publikováno v:
International Journal of Geometric Methods in Modern Physics, Vol. 17, No. 4 (2020) 2050050 (11 pages)
We study non-conservative like SODEs admitting explicit Lagrangian descriptions. Such systems are equivalent to the system of Lagrange equations of some Lagrangian $L$, including a covariant force field which represents non-conservative forces. We fi
Externí odkaz:
http://arxiv.org/abs/1712.01392
Autor:
VICTORIA, GIDU DIANA, ABDELMONEIM, IBRAHIM ALIAA, ELDAWY, AHMED NANA, ANTOANELA, OLTEAN, VERONA, CONSTANTINESCU OANA, PETRONELA, PARASCHIV, DANIELA, CALOTĂ NICOLETA
Publikováno v:
Ovidius University Annals, Series Physical Education & Sport/Science, Movement & Health; 2024 Supplement, Vol. 24, p264-268, 5p
Akademický článek
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Autor:
Bucataru, Ioan, Constantinescu, Oana
Publikováno v:
Mathematical Physics, Analysis and Geometry, vol. 18, no.1 (2015), Article: 25, 24 pages
In this paper we provide generalized Helmholtz conditions, in terms of a semi-basic 1-form, which characterize when a given system of second order ordinary differential equations is equivalent to the Lagrange equations, for some given arbitrary non-c
Externí odkaz:
http://arxiv.org/abs/1409.4895
Formal Integrability for the Nonautonomous Case of the Inverse Problem of the Calculus of Variations
Autor:
Constantinescu, Oana
Publikováno v:
SIGMA 8 (2012), 059, 17 pages
We address the integrability conditions of the inverse problem of the calculus of variations for time-dependent SODE using the Spencer version of the Cartan-K\"ahler theorem. We consider a linear partial differential operator $P$ given by the two Hel
Externí odkaz:
http://arxiv.org/abs/1203.1716
Publikováno v:
International Journal of Geometric Methods in Modern Physics, vol 8, no.6 (2011), pp. 1291-1327
To a system of second order ordinary differential equations (SODE) one can assign a canonical nonlinear connection that describes the geometry of the system. In this work we develop a geometric setting that allows us to assign a canonical nonlinear c
Externí odkaz:
http://arxiv.org/abs/1011.5799
Autor:
Bucataru, Ioan, Constantinescu, Oana
Publikováno v:
Journal of Geometry and Physics, vol. 60, no 11 (2010), 1710-1725
We present a reformulation of the inverse problem of the calculus of variations for time dependent systems of second order ordinary differential equations using the Fr\"olicher-Nijenhuis theory on the first jet bundle, $J^1\pi$. We prove that a syste
Externí odkaz:
http://arxiv.org/abs/0908.1631