8 citations · 25 across the 13 of their papers we have counts for
14 papers
Optimal geometric estimates for compact Kähler manifolds of a Nash entropy bound
Weiqi Zhang, Yashan Zhang
We prove Sobolev-type inequality and local volume noncollapsing with optimal exponents for compact Kähler manifolds of uniformly bounded -Nash entropy.
Positivity in Foliated Manifolds and Geometric Applications
Yashan Zhang, Tao Zheng
We introduce the notion of positivity for a real basic class in basic Bott-Chern cohomology group on foliated manifolds, and study the relationship between this positivity…
A note on Teissier problem for nef classes
Yashan Zhang
Teissier problem aims to characterize the equality case of Khovanskii-Teissier type inequality for -classes on a compact Kähler manifold. When each of the involved -c…
On almost quasi-negative holomorphic sectional curvature
Yashan Zhang, Tao Zheng
A recent celebrated theorem of Diverio-Trapani and Wu-Yau states that a compact Kähler manifold admitting a Kähler metric of quasi-negative holomorphic sectional curvature has an a…
On higher-rank Khovanskii-Teissier inequalities
Yashan Zhang
We shall discuss a higher-rank Khovanskii-Teissier inequality, generalizing a theorem of Li. In the course of the proof, we develop new Hodge-Riemann bilinear relations in certain…
Local curvature estimates of long-time solutions to the Kähler-Ricci flow
Frederick Tsz-Ho Fong, Yashan Zhang
We study the local curvature estimates of long-time solutions to the normalized Kähler-Ricci flow on compact Kähler manifolds with semi-ample canonical line bundles. Using these es…
Infinite-time singularity type of the Kähler-Ricci flow II
Yashan Zhang
On a compact Kähler manifold with semi-ample canonical line bundle and Kodaira dimension one, we observe a relation between the infinite-time singularity type of the Kähler-Ricci f…
On a twisted conical Kähler-Ricci flow
Yashan Zhang
In this paper, we discuss diameter bound and Gromov-Hausdorff convergence of a twisted conical Kähler-Ricci flow on the total spaces of some holomorphic submersions. We also observ…
Infinite-time singularity type of the Kähler-Ricci flow
Yashan Zhang
For the Kähler-Ricci flow on a compact Kähler manifold with semi-ample canonical line bundle, we prove the singularity type at infinity does not depend on the choice of the initial…
Collapsing limits of the Kähler-Ricci flow and the continuity method
Yashan Zhang
We consider the Kähler-Ricci flow on certain Calabi-Yau fibration, which is a Calabi-Yau fibration with one dimensional base or a product of two Calabi-Yau fibrations with one dime…
The continuity method on Fano fibrations
Yashan Zhang, Zhenlei Zhang
We study finite-time collapsing limits of the continuity method. When the continuity method starting from a rational initial Kähler metric on a projective manifold encounters a fin…
A note on conical Kähler-Ricci flow on minimal elliptic Kähler surfaces
Yashan Zhang
We prove that, under a semi-ampleness type assumption on the twisted canonical line bundle, the conical Kähler-Ricci flow on a minimal elliptic Kähler surface converges in the sens…
The continuity method on minimal elliptic Kähler surfaces
Yashan Zhang, Zhenlei Zhang
We prove that, on a minimal elliptic Kähler surface of Kodaira dimension one, the continuity method introduced by La Nave and Tian in \cite{LT} starting from any initial Kähler met…
On the change of variables formula for multiple integrals
Shibo Liu, Yashan Zhang
In this paper, we develop an elementary proof of the change of variables in multiple integrals. Our proof is based on an induction argument. Assuming the formula for (m-1)-integral…