Taechang Byun

activity

20102016

collaborators

6 papers

math.DG2016

Topological property of the holonomy displacement on the principal $U (n)$ -bundle over $D_{n, m},$ related to complex surfaces

Taechang Byun

Consider $D_{n, m} = U (n, m) / (U (n) \times U (m))$ , the dual of the the Grassmannian manifold and the principal $U (n)$ bundle over $D_{n, m},$ $U(n)\rightarrow U(n,m)/U(m) \s…

math.DG2015

Area and holonomy of the principal $U (n)$ bundles over the dual of grassmannian manifolds

Taechang Byun

Consider the principal $U (n)$ bundles over the dual of Grassmann manifolds $U(n)\ra U(n,m)/U(m) \stackrelπ\ra D_{n,m}$. Given a 2-dimensional subspace $\frakm' \subset \frakm $ $ \…

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.GT2010

SO(n)\SO_0(n,1) has Positive Curvatures

Taechang Byun, Kyeonghee Jo, Kyung Bai Lee

The Lie group SO_0(n, 1) has the left-invariant metric coming from the Killing-Cartan form. The maximal compact subgroup SO(n) of the isometry group acts from the left. The geometr…

math.DG2010

Horizontal Displacement Of Curves In Bundle SO(n) -> SO_0(1,N) -> H^n

Taechang Byun

The Riemannian submersion $π : SO_{0} (1, n) \to H^{n}$ is a principal bundle and its fiber at $π (e)$ is the imbedding of $SO (n)$ into $SO_{0} (1, n)$ , whe…

Topological property of the holonomy displacement on the principal U(n)-bundle over Dn,m​, related to complex surfaces

Area and holonomy of the principal U(n) bundles over the dual of grassmannian manifolds

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

SO(n)\SO_0(n,1) has Positive Curvatures

Horizontal Displacement Of Curves In Bundle SO(n) -> SO_0(1,N) -> H^n

Topological property of the holonomy displacement on the principal $U (n)$ -bundle over $D_{n, m},$ related to complex surfaces

Area and holonomy of the principal $U (n)$ bundles over the dual of grassmannian manifolds

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