Constructing a non-vanishing vector field on $M \times S^1$, $M$ manifold $S^1$ the circle.

Question

The title pretty much says it all. How do I go about constructing a non-vanishing vector field on $M\times S^1$ where $M$ is a manifold and $S^1$ the circle? Thank you for your time.

score 1 · Answer 1 · answered Dec 06 '17 at 04:55

1

Hint: Consider the vector field $(0, 1)$. Here $1$ means the unit tangent vector on the circle.

answered Dec 06 '17 at 04:55

Jacky Chong

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Constructing a non-vanishing vector field on $M \times S^1$, $M$ manifold $S^1$ the circle.

1 Answers1