Special Legendrian submanifolds in toric Sasaki–Einstein manifolds
نویسندگان
چکیده
We show every toric Sasaki–Einstein manifold S admits a special Legendrian submanifold L which arises as the link fix(τ) ∩ S of the fixed point set fix(τ) of an anti-holomorphic involution τ on the cone C(S). In particular, we obtain a special Legendrian torus S × S in an irregular toric Sasaki–Einstein manifold which is diffeomorphic to S × S. Moreover, there exists a special Legendrian submanifold in ]m(S × S) for each m ≥ 1.
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