Every smooth connected complex projective contact Fano manifold of complex dimension at least three is contact-isomorphic, with its specified contact distribution, to the adjoint variety of a simple complex Lie algebra.
Every smooth connected complex projective contact Fano manifold of complex dimension at least three is contact-isomorphic, with its specified contact distribution, to the adjoint variety of a simple complex Lie algebra.
Every smooth connected complex projective contact Fano manifold of complex dimension at least three is contact-isomorphic, with its specified contact distribution, to the adjoint variety of a simple complex Lie algebra.
If correct, resolves contact Fano homogeneity and yields the Riemannian LeBrun–Salamon classification as a consequence.
Is every smooth projective contact Fano manifold an adjoint variety of a simple complex Lie algebra?
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