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, conversely, 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.
| Original language | English |
|---|---|
| Pages (from-to) | 53-78 |
| Number of pages | 26 |
| Journal | Universitatis Iagellonicae Acta Mathematica |
| Volume | 54 |
| DOIs | |
| Publication status | Published - 2017 |
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