Functions with Nondegenerate Critical Points on the Boundary of the Surface-Reference-Cited by-同舟云学术

Functions with Nondegenerate Critical Points on the Boundary of the Surface

Published:2016-06 Issue:1 Volume:68 Page:29-40
ISSN:0041-5995
Container-title:Ukrainian Mathematical Journal
language:en
Short-container-title:Ukr Math J

Author:

Hladysh B. I.,Pryshlyak O. O.

Publisher

Springer Science and Business Media LLC

Subject

General Mathematics

Link

http://link.springer.com/content/pdf/10.1007/s11253-016-1206-5.pdf

Reference11 articles.

1. J. Milnor and A. H. Wallace, Differential Topology [Russian translation], Mir, Moscow (1972).

2. A. Jankowski and R. Rubinsztein, “Functions with nondegenerate critical points on manifolds with boundary,” Comment. Math. Prace Mat., 16, 99–112 (1972).

3. G. Reeb, “Sur les points singulies de une forme de Pfaff completement integrable ou de une function numerique,” Comp. Rend. Hebdomadaires Seaces Acad. Sci., 222, 847–849 (1954).

4. A. S. Kronrod, “On functions of two variables,” Usp. Mat. Nauk, 5, No. 1(35), 24–112 (1950).

5. V. V. Sharko, “Functions on surfaces,” in: Some Problems of Contemporary Mathematics [in Russian], Proc. of the Institute of Mathematics, Ukrainian National Academy of Sciences, Kyiv, 25 (1998), pp. 408–434.

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