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Proceedings of the American Mathematical Society

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An integral formula on the scalar curvature of algebraic manifolds


Author: Jih Hsin Cheng
Journal: Proc. Amer. Math. Soc. 81 (1981), 451-454
MSC: Primary 53C55; Secondary 53C40
MathSciNet review: 597661
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Abstract: It is proved in this note that if the scalar curvature of an $ n$-dimensional algebraic complex submanifold is bigger than $ {n^2}$, then it is totally geodesic.


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DOI: https://doi.org/10.1090/S0002-9939-1981-0597661-1
Article copyright: © Copyright 1981 American Mathematical Society