New relations for Morse-Smale systems with trivially embedded one-dimensional separatrices
Journal Article
·
· Sbornik. Mathematics
- Nizhnii Novgorod State Academy of Agriculture (Russian Federation)
- Nizhnii Novgorod State Technical University, Nizhnii Novgorod (Russian Federation)
New relations are established between the periodic structure of Morse-Smale systems (flows or diffeomorphisms) and the genus of Heegaard splittings of the supporting manifold. A sharp lower estimate is found for the number of non-closed heteroclinic curves of certain Morse-Smale diffeomorphisms on lens spaces.
- OSTI ID:
- 21208333
- Journal Information:
- Sbornik. Mathematics, Vol. 194, Issue 7; Other Information: DOI: 10.1070/SM2003v194n07ABEH000751; Country of input: International Atomic Energy Agency (IAEA); ISSN 1064-5616
- Country of Publication:
- United States
- Language:
- English
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