Elliptic operators and a theorem of Poincaré

Karp, Leon

doi:10.1090/S0002-9939-1985-0810179-7

Elliptic operators and a theorem of Poincaré
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Proc. Amer. Math. Soc. 95 (1985), 649-652 Request permission

Abstract:

A general vanishing theorem is proved for elliptic operators. This result is then used to give a simple proof of the fact that the arithmetic genus vanishes for complex manifolds of odd dimension $n$ with nowhere zero $\left ( {n,0} \right )$ form.

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