Th-Ga
게시글 주소: https://orbi.kr/00064995519
[Thurston] Let M be an irreducible 3-manifold with empty or toroidal boundary and F be a codimension 1 transversally oriented foliation on M such that F has no Reeb components and each component of the boundary of M is either transverse to F or is a leaf of F. Then every compact leaf of F is (Thurston) norm-minimizing.
[Gabai] Let M be an irreducible 3-manifold with empty or toroidal boundary and S a norm-minimizing surface in M representing a nontrivial class in H_2(M, \partial M; Z). Then there exists a codimension 1 transversally oriented taut foliation F on M of finite depth such that F is transverse to \partial M, S is a leaf of F and F|_{\partial M} is a suspension of homeomorphism of S^1.
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