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June 2019 Comparison theorems on trajectory-harps for Kähler magnetic fields which are holomorphic at their arches
Qingsong SHI, Toshiaki ADACHI
Hokkaido Math. J. 48(2): 427-441 (June 2019). DOI: 10.14492/hokmj/1562810518

Abstract

A trajectory-harp is a variation of geodesics associated with a trajectory. We estimate how trajectories for Kähler magnetic fields go away from their initial points and show how they are bended by comparing trajectory-harps on a Kähler manifolds with those on complex space forms. Under a condition on sectional curvatures, we show that when the length of a geodesic segment of a trajectory-harp coincides with that on a complex space form it forms a part of a totally geodesic complex line.

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Qingsong SHI. Toshiaki ADACHI. "Comparison theorems on trajectory-harps for Kähler magnetic fields which are holomorphic at their arches." Hokkaido Math. J. 48 (2) 427 - 441, June 2019. https://doi.org/10.14492/hokmj/1562810518

Information

Published: June 2019
First available in Project Euclid: 11 July 2019

zbMATH: 07080103
MathSciNet: MR3980951
Digital Object Identifier: 10.14492/hokmj/1562810518

Subjects:
Primary: 53C22
Secondary: 53B35

Rights: Copyright © 2019 Hokkaido University, Department of Mathematics

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Vol.48 • No. 2 • June 2019
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