论文标题
紧凑型毛刺表面具有恒定的恒定gauduchon holomorthic截面曲率
Compact Hermitian surfaces with pointwise constant Gauduchon holomorphic sectional curvature
论文作者
论文摘要
Motivated by a recent work of Chen-Zheng [8] on Strominger space forms, we prove that a compact Hermitian surface with pointwise constant holomorphic sectional curvature with respect to a Gauduchon connection $\nabla^t $ is either Kähler, or an isosceles Hopf surface with an admissible metric and $t=-1$ or $t=3$.特别是，Kähler是一个紧凑的毛刺表面。我们将结果进一步概括为Zhao-Zheng [30]引入的两参数规范连接的情况，该连接扩展了Apostolov-Davidov-Muškarov[2]的先前结果。
Motivated by a recent work of Chen-Zheng [8] on Strominger space forms, we prove that a compact Hermitian surface with pointwise constant holomorphic sectional curvature with respect to a Gauduchon connection $\nabla^t $ is either Kähler, or an isosceles Hopf surface with an admissible metric and $t=-1$ or $t=3$. In particular, a compact Hermitian surface with pointwise constant Lichnerowicz holomorphic sectional curvature is Kähler. We further generalize the result to the case for the two-parameter canonical connections introduced by Zhao-Zheng [30], which extends a previous result by Apostolov-Davidov-Muškarov [2].
