Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6424556 | Topology and its Applications | 2015 | 14 Pages |
Abstract
We show that every circle on a complex hyperbolic space except unbounded circles of complex torsion ±1 which have two distinct points at infinity can be regarded as a trajectory for some Sasakian magnetic field on some totally η-umbilic real hypersurface. Our study explains why the lamination on the moduli space of circles on a complex hyperbolic space has singularities only on the leaf of circles of complex torsion ±1.
Related Topics
Physical Sciences and Engineering
Mathematics
Geometry and Topology
Authors
Toshiaki Adachi,