Ziel
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.
Schlüsselbegriffe
Thema/Themen
Aufforderung zur Vorschlagseinreichung
FP7-PEOPLE-2007-4-1-IOF
Andere Projekte für diesen Aufruf anzeigen
Finanzierungsplan
MC-IOF - International Outgoing Fellowships (IOF)Koordinator
38041 GRENOBLE
Frankreich