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December 2009 Motion of Charged Particles and Homogeneous Geodesics in Kähler $C$-Spaces with Two Isotropy Summands
Andreas ARVANITOYEORGOS, Ioannis CHRYSIKOS
Tokyo J. Math. 32(2): 487-500 (December 2009). DOI: 10.3836/tjm/1264170245

Abstract

Let $(M=G/K, g, J)$ be a Kähler $C$-space with two isotropy summands. We classify all such spaces. Thus, by using previous work of O. Ikawa, we obtain a large class of examples where the differential equation $\nabla_{\dot{x}}\dot{x}=kJ\dot{x}$ of the motion of a charged particle under the electromagnetic field $kJ$ can be explicitly solved. In particular, geodesics curves in these spaces can also be described.

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Andreas ARVANITOYEORGOS. Ioannis CHRYSIKOS. "Motion of Charged Particles and Homogeneous Geodesics in Kähler $C$-Spaces with Two Isotropy Summands." Tokyo J. Math. 32 (2) 487 - 500, December 2009. https://doi.org/10.3836/tjm/1264170245

Information

Published: December 2009
First available in Project Euclid: 22 January 2010

zbMATH: 1203.83005
MathSciNet: MR2589958
Digital Object Identifier: 10.3836/tjm/1264170245

Subjects:
Primary: 83C10
Secondary: 53C30 , 53C55 , 83C50

Rights: Copyright © 2009 Publication Committee for the Tokyo Journal of Mathematics

Vol.32 • No. 2 • December 2009
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