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Ricci-flat Kähler metrics on canonical bundles

Published online by Cambridge University Press:  17 June 2002

ROGER BIELAWSKI
Affiliation:
Department of Mathematics, University of Glasgow, Glasgow G12 8QW. e-mail: [email protected]

Abstract

We prove the existence of a (unique) S1-invariant Ricci-flat Kähler metric on a neighbourhood of the zero section in the canonical bundle of a real-analytic Kähler manifold X, extending the metric on X.

Type
Research Article
Copyright
2002 Cambridge Philosophical Society

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