Complete projective connections

2005/04/05 by Benjamin McKay, McKay, Benjamin
Mathematics · Physics and Astronomy · #53B10 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Geometry and complex manifolds

paper · pdf · doi:10.48550/arxiv.math/0504082

openalex publication_date 2005/04/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The first examples of complete projective connections are uncovered: normal projective connections on surfaces whose geodesics are all closed and embedded are complete, as are normal projective connections induced from complete affine connections with slowly decaying positive Ricci curvature.

Citations

• Curvatures of left invariant metrics on lie groups

Related

• Good formal structure for meromorphic flat connections on smooth projective surfaces
• Holomorphic projective connections on surfaces and osculating spaces
• Projective connections associated with second order ODEs
• Holomorphic projective connections on surfaces
• Rigid G-connections and nilpotency of p-curvatures