Minimal Cones with Isotropic Links
نویسندگان
چکیده
We show that any closed oriented immersed isotropic minimal surface Σ with genus gΣ in S ⊂ C is (1) Legendrian (and totally geodesic) if gΣ = 0; (2) either Legendrian or with exactly 2gΣ − 2 Legendrian points if gΣ ≥ 1. In general, any compact oriented immersed isotropic minimal submanifold L ⊂ S ⊂ C must be Legendrian if its first Betti number is zero. Corresponding results for nonorientable links are also provided.
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