- journal article metadata
European Mathematical Society Publishing House
2016-09-19 17:04:50
Commentarii Mathematici Helvetici
Comment. Math. Helv.
CMH
0010-2571
1420-8946
General
10.4171/CMH
http://www.ems-ph.org/doi/10.4171/CMH
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European Mathematical Society Publishing House
Zuerich, Switzerland
© Swiss Mathematical Society
78
2003
3
Fold maps on 4-manifolds
OSAMU
SAEKI
KYUSHU UNIVERSITY, FUKUOKA, JAPAN
Fold map, 4-manifold, embedded surface, characteristic class, homotopy principle, vector field, stable span
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.
Manifolds and cell complexes
General
627
647
10.1007/s00014-003-0758-9
http://www.ems-ph.org/doi/10.1007/s00014-003-0758-9