On The Total Curvature And Betti Numbers Of Complex Projective Manifolds
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Degree type
Doctor of Philosophy (PhD)
Graduate group
Mathematics
Discipline
Subject
Betti Number Estimates
Chern-Lashof Theorems
Complex Projective Manifolds
Total Curvature
Mathematics
Chern-Lashof Theorems
Complex Projective Manifolds
Total Curvature
Mathematics
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Copyright date
2018-09-27T20:18:00-07:00
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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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Date of degree
2018-01-01