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5. Harmonic 2-forms and positively curved 4-manifolds In Memory of Professor Zhengguo Bai(1916-2015)

Harmonic 2-forms and positively curved 4-manifolds In Memory of Professor Zhengguo Bai(1916-2015)

来源 :中国科学：数学（英文版） | 被引量 : 0次 | 上传用户：wzq558

【摘 要】

：

We prove that if a compact Riemannian 4-manifold with positive sectional curvature satisfies a strengthened Kato type inequality,then it is definite.We also discuss some new insights for compact Riemannian 4-manifolds with positive sectional curvature.

【作 者】

：

Kefeng Liu Jianming Wan 

【机 构】

：

Mathematical Science Research Center,Chongqing University of Technology,Chongqing 400054,China;Depar

【出 处】

：

中国科学：数学（英文版）

【发表日期】

：

2021年7期

【关键词】

：

positive curvature harmonic forms Hopf conjecture 

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We prove that if a compact Riemannian 4-manifold with positive sectional curvature satisfies a strengthened Kato type inequality,then it is definite.We also discuss some new insights for compact Riemannian 4-manifolds with positive sectional curvature.

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