Duality and integrability on contact Fano manifolds
Documenta mathematica, Tome 15 (2010), pp. 821-841.

Voir la notice de l'article dans Electronic Library of Mathematics

Summary: We address the problem of classification of contact Fano manifolds. It is conjectured that every such manifold is necessarily homogeneous. We prove that the Killing form, the Lie algebra grading and parts of the Lie bracket can be read from geometry of an arbitrary contact manifold. Minimal rational curves on contact manifolds (or contact lines) and their chains are the essential ingredients for our constructions.
Classification : 14M17, 53C26, 14M20, 14J45
Mots-clés : complex contact manifold, Fano variety, minimal rational curves, adjoint variety, Killing form, Lie bracket, Lie algebra grading 
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     title = {Duality and integrability on contact {Fano} manifolds},
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Buczynski, Jaroslaw. Duality and integrability on contact Fano manifolds. Documenta mathematica, Tome 15 (2010), pp. 821-841. https://geodesic-test.mathdoc.fr/item/DOCMA_2010__15__a9/