All compact orientable three dimensional manifolds admit total foliations

DOI10.1090/MEMO/0233zbMath0435.57005OpenAlexW2095025364MaRDI QIDQ3874965

Detlef Hardorp

Publication date: 1980

Published in: Memoirs of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/memo/0233

zbMATH Keywords

parallelizable manifoldtransverse foliationssurgery on total foliations of the 3-spheretotal foliations on compact oriented three- manifolds

Mathematics Subject Classification ID

Vector fields, frame fields in differential topology (57R25) Foliations in differential topology; geometric theory (57R30) Specialized structures on manifolds (spin manifolds, framed manifolds, etc.) (57R15)

Related Items (3)

Regular projectively Anosov flows with compact leaves. ⋮ Uniform foliations with Reeb components ⋮ Existence problem of transverse foliations for some foliated 3-manifolds

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