Complex Projective Contact Manifolds
(CONTACT MANIFOLDS)
Start date: Sep 1, 2008,
End date: Feb 14, 2012
PROJECT
FINISHED
In our project we are interested in the classification of complex projective contact Fano manifolds and of quaternion-Kahler manifolds with positive scalar curvature. Also we want to classify smooth subvarieties of projective space whose dual is also smooth. We divide these problems into the following four objectives: 1) to expand the dictionary between the differential geometric properties of quaternion-Kahler manifolds with positive scalar curvature and algebro-geometric properties of complex contact Fano manifolds; 2) to determine properties of minimal rational curves on contact Fano manifolds and the Legendrian subvarieties determined by these curves; 3) to use the results of 1) and 2) to make progress in establishing or disproving the conjecture of LeBrun and Salamon - we will approach the conjecture from both the differential and algebraic perspectives. 4) to classify smooth varieties whose dual is also smooth via Legendrian varieties.
Get Access to the 1st Network for European Cooperation
Log In
or
Create an account
to see this content
Coordinator
- Laurent Manivel
- Avenue Centrale, Domaine Universitaire 621 38041 GRENOBLE (France)
Details
- 100% € 239 138,19
-
FP7-PEOPLE
- Project on CORDIS Platform