Holonomy displacements in Hopf bundles over complex hyperbolic space and the complex Heisenberg groups

Younggi Choi, Kyung Bai Lee

For the ``Hopf bundle'' $S^1\to S^{2n,1}\to {\mathbb{H}}^n$, horizontal lifts of simple closed curves are studied. Let $\gamma$ be a piecewise smooth, simple closed curve on a complete…