On existence of noncompact heteroclinic curves (Q1431462)
From MaRDI portal
 | This is the item page for this Wikibase entity, intended for internal use and editing purposes. Please use this page instead for the normal view: On existence of noncompact heteroclinic curves |
scientific article; zbMATH DE number 2071088
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On existence of noncompact heteroclinic curves |
scientific article; zbMATH DE number 2071088 |
Statements
On existence of noncompact heteroclinic curves (English)
0 references
9 June 2004
0 references
This paper deals with the class of Morse-Smale diffeomorphisms of three-dimensional manifolds whose nonwandering set consists of exactly four points two of which are saddles. For three-manifolds for which the sphere \(S^3\) is the universal covering under the above assumptions, the authors prove that the wandering set of the diffeomorphism has at least one nonclosed heteroclinic curve.
0 references
three-dimensional manifolds
0 references
universal coverings
0 references
wandering set
0 references
Morse-Smale diffeomorphisms
0 references
saddles
0 references
0 references
