Pengchao Wang

works on

complex manifolds 1 holomorphic projective connection 1 projective class 1 torsion-free connections 1 wronskian curvature positivity 1

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math.CV2026

Wronskian curvature positivity is equivalent to the existence of a holomorphic projective connection

Pengchao Wang, Songyan Xie

The paper proves that a complex manifold admits a smooth connection with Wronskian curvature positivity if and only if it has a holomorphic projective connection, and for a fixed t…