A note on homotopy classes of nonsingular vector fields on S-3

作者：Yu Bin^*

来源：Comptes Rendus Mathematique, 2014, 352(4): 351-355.

DOI：10.1016/j.crma.2014.01.016

The homotopy class (up to homeomorphism) of nonsingular vector fields on S-3 are in oneto-one correspondence with N via the homotopy number. We prove that each homotopy class with a nonzero homotopy number can be represented by two nonsingular Morse-Smale vector fields with three periodic orbits. Notice that it is already known that the nonsingular Morse-Smale vector field with two periodic orbits has homotopy number 0.

• 出版日期2014-4
• 单位同济大学