From the 1 of 6 linked papers with an AI index.
6 papers
-Integrability of -Harmonic Forms and the Hopf Conjecture
Teng Huang, Weike Yu
The paper proves that on complete simply‑connected Riemannian manifolds with non‑positive sectional curvature, any L²‑harmonic form that is also L¹‑integrable must vanish, and uses…
Prescribed Chern scalar curvatures on complete Hermitian manifolds
Weike Yu
In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete noncompact Hermitian manifolds, and generalize the Aviles-McOwen's existence results [J…
Prescribed Chern scalar curvature on complete noncompact Hermitian manifolds with nonpositive curvatures
Weike Yu
In this paper, we investigate the problem of prescribing Chern scalar curvatures on complete noncompact Hermitian manifolds with nonpositive curvatures, and establish some existenc…
The Kazdan-Warner problem on compact Kähler surfaces
Weike Yu
In this paper, we investigate a Kazdan-Warner problem on compact Kähler surfaces, which corresponds to prescribing sign-changing Chern scalar curvatures, and establish a Chen-Li t…
Prescribed Chern scalar curvature flow on compact Hermitian manifolds with negative Gauduchon degree
Weike Yu
In this paper, we present a unified flow approach to prescribed Chern scalar curvature problem on compact Hermitian manifolds with negative Gauduchon degree. When the conformal cla…
Liouville theorem for -harmonic heat flows
Han Luo, Weike Yu, Xi Zhang
In this paper, we investigate -harmonic heat flows from complete Riemannian manifolds with nonnegative Bakry-Emery Ricci curvature to complete Riemannian manifolds with sectiona…