Abstract
A trajectory for a Sasakian magnetic field, which is a generalization of geodesics, on a real hypersurface in a complex hyperbolic space CHn is said to be extrinsic circular if it can be regarded as a circle as a curve in CHn. We study how the moduli space of extrinsic circular trajectories, which is the set of their congruence classes, on a totally η-umbilic real hypersurface is contained in the moduli space of circles in CHn. From this aspect we characterize tubes around totally geodesic complex hypersurfaces CHn-1 in CHn by some properties of such trajectories.
Citation
Tuya Bao. Toshiaki Adachi. "Extrinsic circular trajectories on totally η-umbilic real hypersurfaces in a complex hyperbolic space." Kodai Math. J. 39 (3) 615 - 631, October 2016. https://doi.org/10.2996/kmj/1478073776
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