3 papers
math.GT2013
Infra-solvmanifolds of $\Sol_1^4$-geometry
Kyung-Bai Lee, Scott Thuong
The purpose of this paper is to classify all compact manifolds modeled on the 4-dimensional solvable Lie group . The maximal compact subgroup of is $D_4=\m…
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.DG2007
Holonomy displacements in Hopf bundles over complex hyperbolic space and the complex Heisenberg groups
Younggi Choi, Kyung Bai Lee
For the ``Hopf bundle'' , horizontal lifts of simple closed curves are studied. Let be a piecewise smooth, simple closed curve on a complete…