Vector fields with stable shadowable property on closed surfaces

Authors
Zhu, Sheng Zhi
Citation
Zhu, Sheng Zhi, Vector fields with stable shadowable property on closed surfaces, Acta mathematica Sinica. English series (Print) , 26(8), 2010, pp. 1449-1456
Journal title
Acta mathematica Sinica. English series (Print) → ACNP
ISSN journal
14398516
Volume
26
Issue
8
Year of publication
2010
Pages
1449 - 1456
Database
ACNP
SICI code
Abstract
We prove that the set of vector fields satisfying the C 1 stable shadowable property on closed surfaces is characterized as the set of Morse-Smale vector fields. Hence, the vector fields satisfying shadowing property on closed surfaces are C 1 dense.