Riemannian manifolds satisfying [RIC \wedge g, W=0]


We study the condition [RIC \wedge g, W=0] on 2n-dimensional Riemannian manifolds which also have non-negative curvature on totally isotropic two- planes.We show that if, in addition, certain holomorphic bisectional curvatures are positive, then the manifold is biholomorphically isometric to ℂℙ<sup>n</sup>.

DOI Code: 10.1285/i15900932v15n2p161

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