Duality and integrability on contact Fano manifolds
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.
Cite this article
Jaroslaw Buczynski, Duality and integrability on contact Fano manifolds. Doc. Math. 15 (2010), pp. 821–841DOI 10.4171/DM/315