Calabi-Yau structures on cotangent bundles

2013/10/28 by Alexandru Doicu, Doicu, Alexandru
Mathematics · #53C55 #Differential Geometry (math.DG) #FOS: Mathematics #math.DG #msc:53C55

paper · pdf · doi:10.48550/arxiv.1310.7394

8 pages

arxiv created 2013/10/31 · arxiv updated 2013/11/01

Abstract

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