17 research outputs found
High rank torus actions on contact manifolds
We prove LeBrun--Salamon conjecture in the following situation: if is a
contact Fano manifold of dimension whose group of automorphisms is
reductive of rank then is the adjoint variety of a
simple group. The rank assumption is fulfilled not only by the three series of
classical linear groups but also by almost all the exceptional ones.Comment: Minor changes committe