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Examples of smooth maps with finitely many critical points in dimensions , and

Author(s): Louis Funar; Cornel Pintea; Ping Zhang
Journal: Proc. Amer. Math. Soc. 138 (2010), 355-365.
MSC (2000): Primary 57R45, 55R55, 58K05, 57R60, 57R70
Posted: September 3, 2009
MathSciNet review: 2550201
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Abstract | References | Similar articles | Additional information

Abstract: We consider manifolds $M^{2n}$ which admit smooth maps into a connected sum of $S^1\times S^n$ with only finitely many critical points, for $n\in\{2,4,8\}$ , and compute the minimal number of critical points.

References:

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Additional Information:

Louis Funar
Affiliation: Institut Fourier BP 74, UMR 5582, Université de Grenoble I, 38402 Saint-Martin-d'Hères cedex, France
Email: funar@fourier.ujf-grenoble.fr

Cornel Pintea
Affiliation: Department of Geometry, ``Babes-Bolyai'' University, 400084 M. Kogalniceanu 1, Cluj-Napoca, Romania
Email: cpintea@math.ubbcluj.ro

Ping Zhang
Affiliation: Department of Mathematics, Eastern Mediterranean University, Gazimagusa, North Cyprus, via Mersin 10, Turkey
Email: ping.zhang@emu.edu.tr

DOI: 10.1090/S0002-9939-09-10028-X
PII: S 0002-9939(09)10028-X
Keywords: Critical point, isolated singularity, Hopf fibration, suspension, homotopy sphere
Received by editor(s): July 21, 2008,
Received by editor(s) in revised form: April 28, 2009
Posted: September 3, 2009
Communicated by: Paul Goerss
Copyright of article: Copyright 2009, American Mathematical Society
The copyright for this article reverts to public domain after 28 years from publication.

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