On the Total Curvature and Betti Numbers of Complex Projective Manifolds

Abstract

We prove an inequality between the sum of the Betti numbers of a complex projective manifold and its total curvature, and we characterize the complex projective manifolds whose total curvature is minimal. These results extend the classical theorems of Chern and Lashof to complex projective space.

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References in corpus (1)

• Fake projective planes