论文标题
Kähler表面与第二种六阳性曲率操作员
Kähler surfaces with six-positive curvature operator of the second kind
论文作者
论文摘要
本文的目的是启动对Kähler歧管第二类曲率操作员的调查。主要结果断言，第二种具有六个阳性曲率算子的封闭的kähler表面是biholomormorphic to $ \ mathbb {cp}^2 $。还表明，第二种的六个非曲率曲率运算符是biholomormormormormormormormoric to $ \ mathbb {cp}^2 $或等距到$ \ mathbb {s}^2 \ time times \ times \ mathbb {s}^2 $。
The purpose of this article is to initiate the investigation of the curvature operator of the second kind on Kähler manifolds. The main result asserts that a closed Kähler surface with six-positive curvature operator of the second kind is biholomorphic to $\mathbb{CP}^2$. It is also shown that a closed non-flat Kähler surface with six-nonnegative curvature operator of the second kind is either biholomorphic to $\mathbb{CP}^2$ or isometric to $\mathbb{S}^2 \times \mathbb{S}^2$.
