The 𝐴̂-genus of complex hypersurfaces and complete intersections

Brooks, Robert

doi:10.1090/S0002-9939-1983-0684651-5

The $\hat A$-genus of complex hypersurfaces and complete intersections
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Proc. Amer. Math. Soc. 87 (1983), 528-532 Request permission

Abstract:

In this note, we classify the even-dimensional complex hypersurfaces and complete intersections which carry a metric of positive scalar curvature. This is done by computing the $\hat A$-genus of these manifolds to eliminate all cases not known to carry such a metric.

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