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math.DG2000★ 64 cited
A splitting theorem for Kahler manifolds whose Ricci tensors have constant eigenvalues
Vestislav Apostolov, Tedi Draghici, Andrei Moroianu
It is proved that a compact Kahler manifold whose Ricci tensor has two distinct, constant, non-negative eigenvalues is locally the product of two Kahler-Einstein manifolds. A stron…
math.DG2000★ 30 cited
Self-dual Einstein Hermitian four manifolds
Vestislav Apostolov, Paul Gauduchon
We provide a local classification of self-dual Einstein Riemannian four manifolds admitting a positively oriented Hermitian structure and characterize those which carry a hyperherm…