Geodesic
On the total curvature and Betti numbers of complex projective manifolds
Hoisington, Joseph Ansel1
1 Department of Mathematics, University of Pennsylvania, Philadelphia, PA, United States, Department of Mathematics, University of Georgia, Athens, GA, United States
Geometry & topology, Tome 26 (2022) no. 1, pp. 1-45.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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.

Classification : 53C55, 51N35, 53C65
Keywords: total curvature, complex projective manifolds, Betti number estimates, Chern-Lashof theorems

Hoisington, Joseph Ansel 1

1 Department of Mathematics, University of Pennsylvania, Philadelphia, PA, United States, Department of Mathematics, University of Georgia, Athens, GA, United States 
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Hoisington, Joseph Ansel. On the total curvature and Betti numbers of complex projective manifolds. Geometry & topology, Tome 26 (2022) no. 1, pp. 1-45. http://geodesic.mathdoc.fr/item/GT_2022_26_1_a0/

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