About homotopy classes of non-singular vector fields on the three-sphere

Details About homotopy classes of non-singular vector fields on the three-sphere About homotopy classes of non-singular vector fields on the three-sphere

2003-03-25

arxiv.org/abs/math/0303315v1

Mathematics

Dynamical Systems

16 pages, 6 figures

Scientific paper

Generically, the set of points along which two non-singular vector fields on the three-sphere are positively (resp. negatively) collinear form a link. We prove that the two vector fields are homotopic if and only if the linking number of those links is zero. We use this criterion to give a new proof of a result of Yano: every non-singular vector field on the three-sphere is homotopic to a non-singular Morse-Smale vector field.

Affiliated with

Also associated with

No associations

Rating

About homotopy classes of non-singular vector fields on the three-sphere does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with About homotopy classes of non-singular vector fields on the three-sphere, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and About homotopy classes of non-singular vector fields on the three-sphere will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-332871