Zhu, Sheng Zhi, Vector fields with stable shadowable property on closed surfaces, Acta mathematica Sinica. English series (Print) , 26(8), 2010, pp. 1449-1456
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.