JournalscmhVol. 78 , No. 3DOI 10.1007/s00014-003-0758-9

Fold maps on 4-manifolds

  • Osamu Saeki

    Kyushu University, Fukuoka, Japan
Fold maps on 4-manifolds cover


We give a complete characterization of those closed orientable 4-manifolds which admit smooth maps into R^3 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.