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ON SMOOTH MAPS WITH FINITELY MANY CRITICAL POINTS

Published online by Cambridge University Press:  24 May 2004

DORIN ANDRICA  and
LOUIS FUNAR
DORIN ANDRICA
Affiliation:
Faculty of Mathematics and Computer Science, Babes-Bolyai University of Cluj, 3400 Cluj-Napoca, Romaniadandrica@math.ubbcluj.ro
LOUIS FUNAR
Affiliation:
Institut Fourier BP 74, UMR 5582, Université de Grenoble I, 38402 Saint-Martin-d'Hères Cedex, Francefunar@fourier.ujf-grenoble.fr
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Abstract

The minimum number of critical points of a small codimension smooth map between two manifolds is computed. Some partial results for the case of higher codimension when the manifolds are spheres are also given.

Keywords

57R4558K0557R6057R70
Type
Notes and Papers
Information
Journal of the London Mathematical Society , Volume 69 , Issue 3 , June 2004 , pp. 783 - 800
Copyright
The London Mathematical Society 2004

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Footnotes

Research partially supported by the European Research Training Network ‘Geometric analysis’.