Structures de Monge-Ampere symplectiques non degenerees en dimension 6

Details Structures de Monge-Ampere symplectiques non degenerees en dimension 6 Structures de Monge-Ampere symplectiques non degenerees en dimension 6

2002-05-23

arxiv.org/abs/math/0205240v1

Mathematics

Differential Geometry

18 pages, in french

Scientific paper

We define a non-degenerated Monge-Ampere structure on a 6-manifold associated with a Monge-Ampere equation as a couple (\Omega,\omega), such that \Omega is a symplectic form and \omega is a 3-differential form which satisfies \omega\wedge\Omega=0 and which is non-degenerated in the sense of Hitchin. We associate with such a couple an almost (pseudo) Calabi-Yau structure and we study its integrability from the point of view of Monge-Ampere operators theory. The result we prove appears as an analogue of Lychagin and Roubtsov theorem on integrability of the almost complex or almost product structure associated with an elliptic or hyperbolic Monge-Ampere equation in the dimension 4. We study from this point of view the example of the Stenzel metric on T*S^3.

Affiliated with

Also associated with

No associations

Rating

Structures de Monge-Ampere symplectiques non degenerees en dimension 6 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 Structures de Monge-Ampere symplectiques non degenerees en dimension 6, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Structures de Monge-Ampere symplectiques non degenerees en dimension 6 will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-454541