Fold maps on 4-manifolds

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13 Citations (Scopus)


We give a complete characterization of those closed orientable 4-manifolds which admit smooth maps into R3 with only fold singularities. We also clarify the relationship between the existence problem of fold maps and that of linearly independent vector fields on manifolds.

Original languageEnglish
Pages (from-to)627-647
Number of pages21
JournalCommentarii Mathematici Helvetici
Issue number3
Publication statusPublished - Sep 1 2003

All Science Journal Classification (ASJC) codes

  • Mathematics(all)


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