Calabi-Yau structures on cotangent bundles

Abstract

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

arXiv comment8 pages