HOLONOMY DISPLACEMENTS IN THE HOPF BUNDLES OVER $\small{\mathcal{C}}$Hn AND THE COMPLEX HEISENBERG GROUPS

Title & Authors
HOLONOMY DISPLACEMENTS IN THE HOPF BUNDLES OVER $\small{\mathcal{C}}$Hn AND THE COMPLEX HEISENBERG GROUPS
Choi, Young-Gi; Lee, Kyung-Bai;

Abstract
For the "Hopf bundle" $\small{S^1{\rightarrow}S^{2n,1}{\rightarrow}\mathbb{C}H^n}$, horizontal lifts of simple closed curves are studied. Let $\small{{\gamma}}$ be a piecewise smooth, simple closed curve on a complete totally geodesic surface $\small{S}$ in the base space. Then the holonomy displacement along $\small{{\gamma}}$ is given by V({\gamma})
Keywords
holonomy displacement;complex hyperbolic space;complex Heisenberg group;
Language
English
Cited by
1.
The topological aspect of the holonomy displacement on the principal U(n) bundles over Grassmannian manifolds, Topology and its Applications, 2015, 196, 8
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