On the Total Curvature and Betti Numbers of Complex Projective Manifolds
Differential Geometry
2022-04-20 v2 Algebraic Geometry
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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Cite
@article{arxiv.1807.11625,
title = {On the Total Curvature and Betti Numbers of Complex Projective Manifolds},
author = {Joseph Ansel Hoisington},
journal= {arXiv preprint arXiv:1807.11625},
year = {2022}
}
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