Journal
ANNALS OF GLOBAL ANALYSIS AND GEOMETRY
Volume 35, Issue 4, Pages 339-343Publisher
SPRINGER
DOI: 10.1007/s10455-008-9134-8
Keywords
Irreducible Kahler manifold; Harmonic Bochner curvature tensor; Constant scalar curvature; Kahler-Einstein; Negative semi-definite Ricci tensor
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We prove that every irreducible Kahler manifold with harmonic Bochner curvature tensor and constant scalar curvature is Kahler-Einstein and that every irreducible compact Kahler manifold with harmonic Bochner curvature tensor and negative semi-definite Ricci tensor is Kahler-Einstein.
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