Abstract
It is known that the image of a horizontal geodesic under a Riemannian submersion is a geodesic. However, in general the image of a geodesic under a Riemannian submersion is not a geodesic. In this paper, we define a Sasaki-Kähler submersion from a Sasakian manifold onto a Kähler manifold, and show that the image of the motion of a charged particle is the motion of a charged particle. In particular, the image of a geodesic is the motion of a charged particle under a Sasaki-Kähler submersion. A Sasaki-Kähler submersion is a kind of Riemannian submersion.
Citation
Osamu Ikawa. "Motion of charged particles in Sasakian manifolds." SUT J. Math. 43 (2) 263 - 266, June 2007. https://doi.org/10.55937/sut/1203560310
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