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Geometry Seminar: Joseph Hoisington, Smith College and UGA

Boyd 410


Title of talk: The Total Curvature and Betti Numbers of Complex Projective Manifolds

Abstract: We will prove an inequality between the total curvature of a complex projective manifold and the sum of its Betti numbers, and we will characterize the complex projective manifolds whose total curvature is minimal. These results extend the classical theorems of Chern and Lashof to complex projective space. As we prove these results, we will discuss several possible directions for future work.

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