Resumen de Higher-dimensional Gray Hermitian manifolds

Wlodzimierz Jelonek

• The aim of this paper is to classify compact, Riemannian, Hermitian conformally K¨ahler manifolds (M,g, J) whose Ricci tensor ñ is J-invariant and satisfies the condition that ñ .

  (2ô/(dimM + 2))g is a Killing tensor, where ô is the scalar curvature of (M,g). We classify such manifolds whose Ricci tensor has two eigenvalues and two-dimensional, totally geodesic eigendistribution.