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arXiv · 0911.1028

Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds

Yuguang Zhang
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Abstract

In this paper, the relationship between the existence of special lagrangian submanifolds and the collapsing of Calabi-Yau manifolds is studied. First, special lagrangian fibrations are constructed on some regions of bounded curvature and sufficiently collapsed in Ricci-flat Calabi-Yau manifolds. Then, in the opposite direction,it is shown that the existence of special lagrangian submanifolds with small volume implies the collapsing of some regions in the ambient Calabi-Yau manifolds.

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Yuguang Zhang. 2009-12-01. Collapsing of Calabi-Yau manifolds and special lagrangian submanifolds. https://arxiv.org/abs/0911.1028

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