Complete Affine K$\ddot{a}$hler Manifolds

Details Complete Affine K$\ddot{a}$hler Manifolds Complete Affine K$\ddot{a}$hler Manifolds

2010-08-16

arxiv.org/abs/1008.2604v2

Mathematics

Differential Geometry

Scientific paper

In this paper we prove that for a complete, connected and oriented K\"{a}ler
affine manifold $(M,G)$ of dimension $n,$ if it is K\"ahler affine Ricci flat
or the K$\ddot{a}$hler affine scalar curvature $S\equiv0,$ ($n\leq 5$), then
the universal covering manifold $\widetilde{M}$ of $M$ is isometric to the
Euclidean n-space $E^{n}$.

Affiliated with

Also associated with

No associations

Rating

Complete Affine K$\ddot{a}$hler Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Complete Affine K$\ddot{a}$hler Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Complete Affine K$\ddot{a}$hler Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-177075