4 papers
math.DG2025
Uniform RC-positivity of direct image bundles
Kuang-Ru Wu
The concept of RC-positivity and uniform RC-positivity is introduced by Xiaokui Yang to solve a conjecture of Yau on projectivity and rational connectedness of a compact Kähler ma…
math.DG2025
A potential theory for the Wess--Zumino--Witten equation in the space of Kähler potentials
Kuang-Ru Wu
We develop a potential theory for the Wess--Zumino--Witten (WZW) equation in the space of Kähler potentials which is parallel to the potential theory for the Hermitian--Yang--Mill…
math.DG2025
New curvature characterization for the weighted Sasaki sphere
Pak Tung Ho, Kuang-Ru Wu
In this paper, we use the shifted cones introduced by Yang and Zhang to classify Sasaki manifolds. This gives a new curvature characterization for the weighted Sasaki sphere.
math.DG2025
Mean curvature of direct image bundles
Kuang-Ru Wu
Let be a vector bundle of rank over a compact complex manifold of dimension . It is known that if the line bundle over the projectivized bundle…