Complete complex parabolic geometries

Abstract

Complete complex parabolic geometries (including projective connections and conformal connections) are flat and homogeneous. This is the first global theorem on parabolic geometries.

28 pages, minor corrections

Cited by in corpus (4)

• Holomorphic Cartan geometries, Calabi--Yau manifolds and rational curves
• Rational curves and ordinary differential equations
• Legendrian Gronwall conjecture
• The Hartogs extension phenomenon for holomorphic parabolic and reductive geometries