On manifolds with holomorphic normal projective connections

2002/10/08 by Priska Jahnke, Ivo Radloff
Mathematics · #math.AG #math.DG #msc:53B10 #msc:14E30 #msc:14D07 #msc:14J30

paper · pdf

published as Math. Ann. 329 (2004), 379-400 · 19 pages, LaTeX2e

arxiv created 2002/10/08 · arxiv updated 2009/11/30

Abstract

The authors give a complete classification of projective threefolds admitting a holomorphic normal projective connection. Moreover, they prove a general structure theorem on complex projective manifolds admitting a holomorphic normal projective connection, saying in particular, that any such manifold is either the projective space or minimal in the sense of Mori.

Related

• Holomorphic normal projective connections on projective manifolds
• Holomorphic projective connections on compact complex threefolds
• Projective Threefolds with Holomorphic Conformal Structure
• Parallel submanifolds of complex projective space and their normal holonomy
• Complete projective connections