5 citations · 5 across the 4 of their papers we have counts for
4 papers
Scalar curvature rigidity of domains in a warped product
Xiaoxiang Chai, Xueyuan Wan
By exploiting the conformality of a warped product metric with a direct product metric, we develop a new connection on a twisted spinor bundle and its associated Dirac operator. We…
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…
Logarithmic vanishing theorems on compact Kähler manifolds I
Chunle Huang, Kefeng Liu, Xueyuan Wan +1
In this paper, we first establish an -type Dolbeault isomorphism for logarithmic differential forms by Hörmander's -estimates. By using this isomorphism and the construct…
Rational curves on Hermitian manifolds
Huitao Feng, Kefeng Liu, Xueyuan Wan +1
By using analytic method, we prove that there exist rational curves on compact Hermitian manifolds with positive holomorphic bisectional curvature. It confirms a question of S.-T.…