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arXiv · 1203.3934

Special Lagrangians and Lagrangian self-similar solutions in cones over toric Sasaki manifolds

Hikaru Yamamoto
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Abstract

We construct some examples of special Lagrangian submanifolds and Lagrangian self-similar solutions in almost Calabi-Yau cones over toric Sasaki manifolds. For example, for any integer g>0, we can construct a real 6 dimensional Calabi-Yau cone M_g and a 3 dimensional special Lagrangian submanifold L^1_g in M_g which is diffeomorphic to the product of a closed surface of genus g and the real line R, and a 3 dimensional compact Lagrangian self-shrinker L^2_g in M_g which is diffeomorphic to the product of the closed surface of genus g and a circle S^1.

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Hikaru Yamamoto. 2013-02-06. Special Lagrangians and Lagrangian self-similar solutions in cones over toric Sasaki manifolds. https://arxiv.org/abs/1203.3934

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