7 citations · 38 across the 29 of their papers we have counts for
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A flat Higgs bundle structure on the complexified Kähler cone
Xu Wang
We shall construct a natural Higgs bundle structure on the complexified Kähler cone of a compact Kähler manifold, which can be seen as an analogy of the classical Higgs bundle stru…
Curvature restrictions on a manifold with a flat Higgs bundle
Xu Wang
We shall prove a semi-negative curvature property for a manifold with a flat admissible Higgs bundle.
Relative $\dbar$-complex and its curvature properties
Xu Wang
We shall define the relative $\dbar$-complex and study the curvature properties of the associated vector bundles. As an application, we shall prove that Yamaguchi's theory on subha…
Curvature of higher direct image sheaves and its application on negative-curvature criterion for the Weil-Petersson metric
Xu Wang
We shall show that -semipositivity of the vector bundle over a Kähler total space implies the Griffiths-semipositivity of the -th direct image of $\mathcal O…
Entropy of a semigroup of maps from a set-valued view
Bingzhe Hou, Xu Wang
In this paper, we introduce a new entropy-like invariant, named Hausdorff metric entropy, for finitely generated semigroups acting on compact metric spaces from a set-valued view a…