An integral formula on the scalar curvature of algebraic manifolds

Cheng, Jih Hsin

doi:10.1090/S0002-9939-1981-0597661-1

An integral formula on the scalar curvature of algebraic manifolds
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Proc. Amer. Math. Soc. 81 (1981), 451-454 Request permission

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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