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A comparison theorem on magnetic jacobi fields

Published online by Cambridge University Press:  20 January 2009

Toshiaki Adachi
Toshiaki Adachi
Affiliation:
Department of Mathematics, Nagoya Institute of Technology, Gokiso, Showa-ku, Nagoya 466, Japan E-mail address: [email protected]
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Abstract

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A scalar multiple of the Kähler form of a Kähler manifold is called a Kähler magnetic field. We are focused on trajectories of charged particles under this action. As a variation of trajectories we define a magnetic Jacobi field. In this paper we discuss a comparison theorem on magnetic Jacobi fields, which corresponds to the Rauch's comparison theorem.

Type
Research Article
Information
Proceedings of the Edinburgh Mathematical Society , Volume 40 , Issue 2 , June 1997 , pp. 293 - 308
Copyright
Copyright © Edinburgh Mathematical Society 1997

References

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