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ON SMOOTH MAPS WITH FINITELY MANY CRITICAL POINTS

Published online by Cambridge University Press:  24 May 2004

DORIN ANDRICA
Affiliation:
Faculty of Mathematics and Computer Science, Babes-Bolyai University of Cluj, 3400 Cluj-Napoca, [email protected]
LOUIS FUNAR
Affiliation:
Institut Fourier BP 74, UMR 5582, Université de Grenoble I, 38402 Saint-Martin-d'Hères Cedex, [email protected]
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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.

Type
Notes and Papers
Copyright
The London Mathematical Society 2004

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Footnotes

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