Open AccessFold maps on 4-manifolds
Author(s) -
Osamu Saeki
Publication year - 2003
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/s00014-003-0758-9
Subject(s) - mathematics , gravitational singularity , vector field , pure mathematics , fold (higher order function) , characterization (materials science) , manifold (fluid mechanics) , mathematical analysis , geometry , mechanical engineering , materials science , engineering , nanotechnology
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.
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