3 citations · 5 across the 7 of their papers we have counts for
7 papers
Grassmannian perspectives of classical Lie groups and Cartan involutions
Yunxia Chen, Naichung Conan Leung
Classical noncompact reductive Lie group admits a compactification as a Riemannian symmetric space by He. First, we provide a unified construction of these compa…
ADE Bundles over Surfaces
Yunxia Chen, Naichung Conan Leung
This is a review paper about ADE bundles over surfaces. Based on the deep connections between the geometry of surfaces and ADE Lie theory, we construct the corresponding ADE bundle…
Sharp Hardy inequalities via Riemannian submanifolds
Yunxia Chen, Naichung Conan Leung, Wei Zhao
This paper is devoted to Hardy inequalities concerning distance functions from submanifolds of arbitrary codimensions in the Riemannian setting. On a Riemannian manifold with non-n…
Embeddings from noncompact symmetric spaces to their compact duals
Yunxia Chen, Yongdong Huang, Naichung Conan Leung
Every compact symmetric space admits a dual noncompact symmetric space . When is a generalized Grassmannian, we can view as a open submanifold of it…
bundles over singular surfaces and flag varieties of type
Yunxia Chen, Naichung Conan Leung
Based on the Brieskorn-Slodowy-Grothendieck diagram, we write the holomorphic structures (or filtrations) of the ADE Lie algebra bundles over the corresponding type ADE flag variet…
Affine ADE bundles over complex surfaces with p_g=0
Yunxia Chen, Naichung Conan Leung
We study simply-laced simple affine Lie algebra bundles over complex surfaces X. Given any Kodaira curve C in X, we construct such a bundle over X. After deformations, it becomes t…