Combinatorial volume preserving flows and taut foliations | Zendy

David Gabai | Zendy

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Combinatorial volume preserving flows and taut foliations

Author(s) -

David Gabai

Publication year - 2000

Publication title -

commentarii mathematici helvetici

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 1.603

H-Index - 46

eISSN - 1420-8946

pISSN - 0010-2571

DOI - 10.1007/s000140050114

Subject(s) - foliation (geology) , injective function , mathematics , saddle , surface (topology) , transverse plane , manifold (fluid mechanics) , volume (thermodynamics) , geometry , pure mathematics , anatomy , geology , physics , medicine , mechanical engineering , mathematical optimization , geochemistry , quantum mechanics , engineering , metamorphic rock

. A -injective closed surface in an orientable 3-manifold with a tangentially smooth, transversely C 0 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.

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