Hostname: page-component-cd9895bd7-q99xh Total loading time: 0 Render date: 2024-12-23T02:24:46.377Z Has data issue: false hasContentIssue false

On the Morse-Smale characteristic of a differentiable manifold

Published online by Cambridge University Press:  17 April 2009

George M. Rassias
Affiliation:
Φ.E.A.A., 279 Patision Street, Athens, Greece.
Rights & Permissions [Opens in a new window]

Abstract

Core share and HTML view are not available for this content. However, as you have access to this content, a full PDF is available via the ‘Save PDF’ action button.

In this note, the Morse-Smale characteristic of a differentiable manifold is defined and certain of its properties are studied.

Type
Research Article
Copyright
Copyright © Australian Mathematical Society 1979

References

[1]Smale, Stephen, “Generalized Poincaré's conjecture in dimensions greater than four”, Ann. of Math. (2) 74 (1961), 391406.CrossRefGoogle Scholar
[2]Smale, S., “On the structure of manifolds”, Amer. J. Math. 84 (1962), 387399.CrossRefGoogle Scholar