We compute the minimum number of critical points of a small codimension smooth map between two manifolds. We give as well some partial results for the case of higher codimension when the manifolds are spheres.
@article{hal-00010025,
author = {Andrica, Dorin and Funar, Louis},
title = {On smooth maps with finitely many critical points},
journal = {HAL},
volume = {2004},
number = {0},
year = {2004},
language = {en},
url = {http://dml.mathdoc.fr/item/hal-00010025}
}
Andrica, Dorin; Funar, Louis. On smooth maps with finitely many critical points. HAL, Tome 2004 (2004) no. 0, . http://gdmltest.u-ga.fr/item/hal-00010025/