Calabi-Yau structures on cotangent bundles

Alexandru Doicu

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arXiv · 1310.7394

Calabi-Yau structures on cotangent bundles

Alexandru Doicu

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Abstract

Starting with an orientable compact real-analytic Riemannian manifold $(L,g)$ with $χ(L)=0$, we show that a small neighbourhood $ \textrm{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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BibTeX RIS

Alexandru Doicu. 2013-10-31. Calabi-Yau structures on cotangent bundles. https://arxiv.org/abs/1310.7394

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