3 citations · 7 across the 7 of their papers we have counts for
8 papers
RC-positivity of complex surfaces
You-Cheng Chou, Kuang-Ru Wu
Given a compact complex surface with a nonflat Ricci-flat Kähler metric, we show that its holomorphic tangent bundle admits an RC-positive Hermitian metric. The proof relies on a c…
Uniform weak RC-positivity and rational connectedness
Kuang-Ru Wu
In this paper, we show that if the holomorphic tangent bundle of a compact Kähler manifold is uniformly weakly RC-positive, then is projective and rationally connected…
Positively curved Finsler metrics on vector bundles III
Kuang-Ru Wu
The goal of the paper is to extend results about ample or Griffiths positive vector bundles to Kobayashi positive vector bundles. In particular, we show that the quotient bundle of…
Positively curved Finsler metrics on vector bundles II
Kuang-Ru Wu
We show that if is an ample vector bundle of rank at least two with some curvature bound on , then is Kobayashi positive. The proof relies on…
Positively curved Finsler metrics on vector bundles
Kuang-Ru Wu
We construct a convex and strongly pseudoconvex Kobayashi positive Finsler metric on a vector bundle under the assumption that the symmetric power of the dual has a Gr…
A Wess--Zumino--Witten type equation in the space of Kähler potentials in terms of Hermitian--Yang--Mills metrics
Kuang-Ru Wu
We prove that the solution of a Wess-Zumino-Witten type equation from a domain in to the space of Kähler potentials can be approximated uniformly by Hermitian-Ya…
Griffiths extremality, interpolation of norms, and Kähler quantization
Tamás Darvas, Kuang-Ru Wu
Following Kobayashi, we consider Griffiths negative complex Finsler bundles, naturally leading us to introduce Griffiths extremal Finsler metrics. As we point out, this notion is c…
A Dirichlet problem in noncommutative potential theory
Kuang-Ru Wu
We prove the solvability of a Dirichlet problem for flat hermitian metrics on Hilbert bundles over compact Riemann surfaces with boundary. We also prove a factorization result for…