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arXiv · 1905.03713

The Mean Curvature of Special Lagrangian 3-folds in SU(3)-Structures with Torsion

Gavin Ball·Jesse Madnick
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Abstract

We derive formulas for the mean curvature of special Lagrangian 3-folds in the general case where the ambient 6-manifold has intrinsic torsion. Consequently, we are able to characterize those SU(3)-structures for which every special Lagrangian 3-fold is a minimal submanifold. In the process, we obtain an obstruction to the local existence of special Lagrangian 3-folds.

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Gavin Ball, Jesse Madnick. 2019-05-09. The Mean Curvature of Special Lagrangian 3-folds in SU(3)-Structures with Torsion. https://arxiv.org/abs/1905.03713

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