Ricci-flat Kaehler metrics on canonical bundles

Abstract

We prove the existence of a (unique) S^1-invariant Ricci-flat Kaehler metric on a neighbourhood of the zero section in the canonical bundle of a real-analytic Kaehler manifold X, extending the metric on X.

References in corpus (3)

• Hyperkaehler structures on total spaces of holomorphic cotangent bundles
• Local rigidity of certain classes of almost Kahler 4-manifolds
• A momentum construction for circle-invariant Kahler metrics