Skip to main content
European Commission logo
English English
CORDIS - EU research results
CORDIS
CORDIS Web 30th anniversary CORDIS Web 30th anniversary
Content archived on 2024-06-18

Complex Projective Contact Manifolds

Objective

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.

Call for proposal

FP7-PEOPLE-2007-4-1-IOF
See other projects for this call

Coordinator

UNIVERSITE JOSEPH FOURIER GRENOBLE 1
EU contribution
€ 239 138,19
Address
Avenue Centrale, Domaine Universitaire 621
38041 GRENOBLE
France

See on map

Activity type
Higher or Secondary Education Establishments
Administrative Contact
Laurent Manivel (Prof.)
Links
Total cost
No data