Special Lagrangians and Lagrangian self-similar solutions in cones over toric Sasaki manifolds
نویسندگان
چکیده
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 ≥ 1, we can construct a real 6-dimensional Calabi–Yau cone Mg and a 3-dimensional special Lagrangian submanifold F 1 g : L 1 g → Mg which is diffeomorphic to Σg ×R and a compact Lagrangian self-shrinker F 2 g : Lg →Mg which is diffeomorphic to Σg × S, where Σg is a closed surface of genus g.
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