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.