Degenerations of ${\mathbf{C}}^n$ and Calabi-Yau metrics

Abstract

We construct infinitely many complete Calabi-Yau metrics on ${\mathbf{C}}^n$ for $n\ge 3$, with maximal volume growth, and singular tangent cones at infinity. In addition we construct Calabi-Yau metrics in neighborhoods of certain isolated singularities whose tangent cones have singular cross section, generalizing work of Hein-Naber.

38 pages, added more details and made corrections

References in corpus (1)

• Obstructions to the Existence of Sasaki-Einstein Metrics

Cited by in corpus (7)

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