Kodai Mathematical Journal

Lengths of circular trajectories on geodesic spheres in a complex projective space

Tuya Bao and Toshiaki Adachi

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Abstract

We study trajectories for Sasakian magnetic fields which are also circles of positive geodesic curvature on geodesic spheres in a complex projective space. Investigating their extrinsic shapes we give a condition for them to be closed. By use of information on lengths of circles on a complex projective space, we give their lengths, and estimate the bottom of the length spectrum of circular trajectories.

Article information

Source
Kodai Math. J., Volume 34, Number 2 (2011), 257-271.

Dates
First available in Project Euclid: 5 July 2011

Permanent link to this document
https://projecteuclid.org/euclid.kmj/1309829549

Digital Object Identifier
doi:10.2996/kmj/1309829549

Mathematical Reviews number (MathSciNet)
MR2811643

Zentralblatt MATH identifier
1228.53067

Citation

Bao, Tuya; Adachi, Toshiaki. Lengths of circular trajectories on geodesic spheres in a complex projective space. Kodai Math. J. 34 (2011), no. 2, 257--271. doi:10.2996/kmj/1309829549. https://projecteuclid.org/euclid.kmj/1309829549


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