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On the minimal number of critical points of smooth maps between closed manifolds

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Abstract

New information concerning the minimal number of critical points of smooth proper mappings between closed connected surfaces (possibly with boundary) without critical points on the boundary is presented.

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Author information

Authors and Affiliations

  1. Faculty of Mathematics and Computer Science, “Babes-Bolyai” University of Cluj, 3400, Cluj-Napoca, Romania

    D. Andrica

  2. Institut Fourier BP 74, UMR 5582, Université de Grenoble I, 38402, Saint-Martin-d’Hères cedex, France

    L. Funar

  3. Department of Mechanics and Mathematics, Moscow State University, 119992, Moscow, Russia

    E. Kudryavtseva

Authors
  1. D. Andrica
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  2. L. Funar
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  3. E. Kudryavtseva
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Corresponding author

Correspondence to D. Andrica.

Additional information

The first author was partially supported by the CNCSIS Grant No. 130/2006, CEEX III/P-INT-VIZ, and CNCSIS Grant No. 1467/2007. The second author was partially supported by the ANR RepSurf: ANR-06-BLAN-0311. The third author was partially supported by the grants RFBR (projects 07-01-00648, 05-01-22002 NTsNI), by the Program of the President of Russian Federation “Support of Leading Scientific Schools” (under grant no. SS-660.2008.1), and by the grant of National Scientific Projects 2.1.1.7988.

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Andrica, D., Funar, L. & Kudryavtseva, E. On the minimal number of critical points of smooth maps between closed manifolds. Russ. J. Math. Phys. 16, 363–370 (2009). https://doi.org/10.1134/S1061920809030042

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  • DOI: https://doi.org/10.1134/S1061920809030042

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