18 citations · 72 across the 32 of their papers we have counts for
4 papers · 1 filter
Curvature of the total space of a Griffiths negative vector bundle and quasi-Fuchsian space
Inkang Kim, Xueyuan Wan, Genkai Zhang
For a holomorphic vector bundle over a Hermitian manifold there are two important notions of curvature positivity, the Griffiths positivity and Nakano positivity. We study…
The mass of an asymptotically hyperbolic end and distance estimates
Xiaoxiang Chai, Xueyuan Wan
Let be a complete connected -dimensional Riemannian spin manifold without boundary such that the scalar curvature satisfies and …
Band width estimates of CMC initial data sets
Xiaoxiang Chai, Xueyuan Wan
We generalize a band width estimate of Gromov to CMC initial data sets. We give three independent proofs: via the stability of a hypersurface with prescribed null expansion, via a…
Signature for flat unitary bundles over surfaces with boundary
Inkang Kim, Pierre Pansu, Xueyuan Wan
This paper deals with the representations of the fundamental groups of compact surfaces with boundary into classical simple Lie groups of Hermitian type. We relate work on the sign…