Younggi Choi

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20072015

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math.DG2015

The topological aspect of the holonomy displacement on the principal $U (n)$ bundles over Grassmanian manifolds

Taechang Byun, Younggi Choi

Consider the principal $U (n)$ bundles over Grassmann manifolds $U (n) \to U (n + m) / U (m) \to π G_{n, m}$ . Given $X \in U_{m, n} (C)$ and a 2-dimensional su…

math.DG2012

Holonomy on the principal $U (n)$ bundles over Grassmannian manifolds

Taechang Byun, Younggi Choi

Consider the principal $U (n)$ bundles over Grassmann manifolds $U (n) \to U (n + m) / U (m) \to π G_{n, m}$ . Given $X \in U_{m, n} (C)$ and a 2-dimensional su…

math.DG2007

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

Younggi Choi, Kyung Bai Lee

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

The topological aspect of the holonomy displacement on the principal U(n) bundles over Grassmanian manifolds

Holonomy on the principal U(n) bundles over Grassmannian manifolds

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

The topological aspect of the holonomy displacement on the principal $U (n)$ bundles over Grassmanian manifolds

Holonomy on the principal $U (n)$ bundles over Grassmannian manifolds