The Morse-Smale characteristic of simply-connected compact manifolds

Authors

  • Dorin Andrica "Babeş-Bolyai" University, Cluj-Napoca, Romania
Abstract views: 229

Abstract

Not available.

Downloads

Download data is not yet available.

References

Andrica, D., Crictical Point Theory and Some Applications, Unviersity of Ankara (to appear), 150 p.

Andrica, D., The Morse-Smale characteristic of a compact manifold, "Babeş-Bolyai" University, Faculty of Mathematics, Research Seminars, Seminar on Geometry, 1991 (to appear), 14 p.

Andrica, D., Some remarks concerning the Morse-Smale characteristic of a compact manifold, Mathematica - Revue d'analyse numérique et de théorie de l'approximation (to appear), 8.

Bogoyavlensky, O.I., On the exact function on manifolds (Russian), Matematicheskie zametki, 8, 1 (1970), pp. 77-83.

Burghelea, D., a.o., Introduction to Differential Topology (Romanian), Bucharest, 1973.

Fomenko, A.T., a.o.,Homotopic topology, Akadémia Kiadó, Budapest, 1986.

Fomenko, A.T., Variational Problems in Topology, Gordon & Breach, 1990.

Guillemin, V., Pollak, A., Differential Topology, Prentice-Hall, 1974.

Kuiper, N.H., Minimal Total Absolute Curvature for Immersions, Inventiones mat.10 (1970), pp. 209-238.

Palais, R.S., Terng, Chun-lian, Critical Point Theory and Submanifold Geometry, Springer-Verlag, 1988.

Rassias, G.M., On the non-degenerate critical points of differentiable functions, Tamakang J. of Math. 10 (1979), pp. 67-73.

Rassias, G.M., On the Morse-Smale characteristic of a differentiable manifold, Bull. Austral. Math. Soc. 20 )1070), No.2, pp. 281-283, https://doi.org/10.1017/s0004972700010960

Sharko, V.V., On Smooth Functions on Manifolds (Russian), Reprint, Institut matematik AN UkSSR, Kiev, 1979.

Smale S., The generalized Poincaré conjecture in dimensions greater than four, Ann. Math. (2) 74 (1961), pp. 391-406, https://doi.org/10.2307/1970239

Smale, S., On the structure of manifolds, Amer. J. of Math. 84 (1962), pp. 387-399, https://doi.org/10.2307/2372978

Smale, S., A survey of some recent developments in differential topology, Bull. AMS 69 (1963), pp. 131-146, https://doi.org/10.1090/s0002-9904-1963-10901-5

Downloads

Published

1993-08-01

How to Cite

Andrica, D. (1993). The Morse-Smale characteristic of simply-connected compact manifolds. Rev. Anal. Numér. Théor. Approx., 22(2), 121–124. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1993-vol22-no2-art1

Issue

Vol. 22 No. 2 (1993)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.