Yusei Aoki, Toshiaki Adachi, "Horocyclic Circles and Tubes around Complex Hypersurfaces in a Complex Hyperbolic Space," WSEAS Transactions on Mathematics, vol. 22, pp. 931-935, 2023, DOI:10.37394/23206.2023.22.102
Yusei Aoki, Toshiaki Adachi. Horocyclic Circles and Tubes around Complex Hypersurfaces in a Complex Hyperbolic Space.
WSEAS Transactions on Mathematics. 2023;22:931-935. 10.37394/23206.2023.22.102
WSEAS Transactions on Mathematics
Print ISSN: 1109-2769, E-ISSN: 2224-2880
Volume 22, 2023
Horocyclic Circles and Tubes around Complex Hypersurfaces in a Complex Hyperbolic Space
Authors: ,
Abstract: We show that every horocyclic circle of nonzero complex torsion on a complex hyperbolic space is
expressed by a trajectory for a Sasakian magnetic field on some tube around totally geodesic complex hypersurface
and that such an expression is unique up to the action of isometries on the complex hyperbolic space.
Keywords:
Circles, horocycle, Sasakian magnetic fields, real hypersurfaces, complex hyperbolic space, extrinsic shapes, congruent
Pages: 931-935 WSEAS Transactions on Mathematics, ISSN / E-ISSN: 1109-2769 / 2224-2880, Volume 22, 2023, Art. #102 DOI: 10.37394/23206.2023.22.102
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