3 problems

Let $M$ be a complex manifold, and let a finite-dimensional complex Lie algebra act holomorphically on $M$ with a dense open orbit while preserving a holomorphic affine connection.…

Let $M$ be a compact complex manifold with finite fundamental group. A holomorphic affine connection is a holomorphic connection on the holomorphic tangent bundle of $M$. Affine-co…

A geometric structure on a manifold is a $G$-structure when it is locally homogeneous at the first order. Suppose that the automorphism group of the manifold acts with a dense orbi…