Семинар за геометрију, образовање и визуализацију са применама, 20. јун 2013.

• 19. Јун, 2013
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Наредни састанак Семинара биће одржан у  четвртак 20. јуна 2013, са почетком у 17 часова, сала 301ф, МИ САНУ.

Предавач: Marian Ioan Munteanu, University "Al.I. Cuza" of Iasi

Наслов предавања: Some results on magnetic curves in Sasakian and cosymplectic manifolds

Садржај: We investigate the trajectories of charged particles moving in a space modeled by the 3-space M2(c) × R under the action of the Killing magnetic fields. We explicitly determine all magnetic curves corresponding to the Killing magnetic fields on the 3-dimensional Euclidean space (c=0). See [1].

We give the local description of the magnetic trajectories associated to Killing vector fields in S2 × R, providing their complete classification (c=1). Moreover, some interpretations in terms of geometric properties are given. See [2].

We try to explain the geometry of magnetic curves in a Sasakian and a cosymplectic manifold of arbitrary dimension. See [3].

References:

[1] S.L. Druta-Romaniuc, M.I. Munteanu, Magnetic curves corresponding to Killing magnetic fields in E3, J. Math. Phys. 52 (11) (2011), art. no. 113506.

[2] M.I. Munteanu, A.I. Nistor, The classification of Killing magnetic curves in S2 × R, J. Geom. Phys. 62 (2) (2012), 170 - 182.

[3] S.L. Druta-Romaniuc, J. Inoguchi, M.I. Munteanu, A.I. Nistor, Magnetic curves in Sasakian and cosymplectic manifolds, submitted.