Calabi-Yau structures on cotangent bundles

Abstract

Starting with an orientable compact real-analytic Riemannian manifold (L,g) with (L)=0, we show that a small neighbourhood Op(L) of the zero section in the cotangent bundle T*L carries a Calabi-Yau structure such that the zero section is an isometrically embedded special Lagrangian submanifold.

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