Journal of the
Korean Mathematical Society
JKMS
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ISSN(Online) 2234-3008
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J. Korean Math. Soc. 2003; 40(4): 747-756
Printed July 1, 2003
Copyright © The Korean Mathematical Society.
A vanishing theorem for $L^2$ cohomology on complete manifolds
Jeffery D. McNeal
Ohio State University
We establish a vanishing theorem on the square-inte-grable cohomology associated to the Cauchy-Riemann complex on some complete Kaehler manifolds. The hypothesis needed for this result is a growth condition on a primitive of the Kaehler form.
Keywords: Kaehler manifold, cohomology, vanishing theorems
MSC numbers: 32Q15, 53C55
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