Combinatorial volume preserving flows and taut foliations

Combinatorial volume preserving flows and taut foliations
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组合体积保持流动和拉紧的叶状结构

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发表时间:
2000
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通讯作者:
David Gabai
David Gabai
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作者:
David Gabai

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抽象的。一个 具有切向光滑、横向C0张叶的可定向3-流形中的内射闭曲面可以同伦到一个浸没曲面,该浸入曲面除了在孤立的鞍切线处横切于该叶理外,或者映射到一个叶中。
Abstract. A $ \pi_1 $-injective closed surface in an orientable 3-manifold with a tangentially smooth, transversely C0 taut foliation can be homotoped to an immersed surface which is either transverse to the foliation except at isolated saddle tangencies or mapped into a leaf.