The General Definition of the Complex Monge-Ampère Operator on Compact Kähler Manifolds

Details The General Definition of the Complex Monge-Ampère Operator on Compact Kähler Manifolds The General Definition of the Complex Monge-Ampère Operator on Compact Kähler Manifolds

2007-05-15

arxiv.org/abs/0705.2099v1

Mathematics

Complex Variables

Scientific paper

We introduce a wide subclass ${\cal F}(X,\omega)$ of quasi-plurisubharmonic
functions in a compact K\"ahler manifold, on which the complex Monge-Amp\`ere
operator is well-defined and the convergence theorem is valid. We also prove
that ${\cal F}(X,\omega)$ is a convex cone and includes all
quasi-plurisubharmonic functions which are in the Cegrell class.

Affiliated with

Also associated with

No associations

Rating

The General Definition of the Complex Monge-Ampère Operator on Compact Kähler 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 The General Definition of the Complex Monge-Ampère Operator on Compact Kähler Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and The General Definition of the Complex Monge-Ampère Operator on Compact Kähler Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-622845