A Kahler manifold is just a complex manifold with both a Riemann metric and a sympletic (Hamiltonian) form. It's not a rare class of manifolds and while the "adjective" Kahler has come to mean those properties. Why not call it a Reimann-Hamilton manifold if we care so much about the "history"?
I'm not suggesting that name. I'd prefer it was called a symplectic smooth inner product manifold. I'm merely pointing out the hypocrisy of the "name it after the discoverer argument"
