发表机构
Academy of Mathematics and Systems Science, Chinese Academy of Sciences; State Key Laboratory of Mathematical Sciences, Academy of Mathematics and Systems Science, Chinese Academy of Sciences; School of Mathematical Sciences, University of Chinese Academy of Sciences（中国科学院数学与系统科学研究院; 中国科学院数学与系统科学研究院数学科学重点实验室; 中国科学院大学数学科学学院）
机构由 AI 辅助整理，请以论文原文为准。AI 中文总结
研究复流形中朗斯基曲率正性与全纯射影联络的关系，证明复流形存在满足特定条件光滑联络当且仅当存在全纯射影联络，固定无挠联络时条件等同于射影类全纯性。
AI 中文摘要
野口在其第二基本定理中引入了朗斯基曲率正性的概念，并寻求该定理适用的更多例子。我们给出了完整答案：一个复流形存在满足此条件的光滑联络，当且仅当它存在全纯射影联络。对于一个固定的无挠联络，该条件等同于其射影类的全纯性。
英文摘要
Noguchi introduced the notion of Wronskian curvature positivity in his Second Main Theorem and asked for further examples to which his theorem applies. We give a complete answer: a complex manifold admits a smooth connection satisfying this condition if and only if it admits a holomorphic projective connection. For a fixed torsion-free connection, the condition is equivalent to the holomorphicity of its projective class.
