Non-vanishing vector field on a manifold..
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It is clear that the closed connected manifold admit non-vanishing vector field if and only if Euler characteristic of the manifold is zero. Let manifold M is non-compact or compact with boundary. Is it true M admits a non-vanishing vector field?
differential-geometry manifolds differential-topology
asked Nov 20 at 14:05
King Khan
395210
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It is clear that the closed connected manifold admit non-vanishing vector field if and only if Euler characteristic of the manifold is zero. Let manifold M is non-compact or compact with boundary. Is it true M admits a non-vanishing vector field?
differential-geometry manifolds differential-topology
asked Nov 20 at 14:05
King Khan
395210
1
See math.stackexchange.com/questions/586862/… .
– Travis
Nov 20 at 14:26
1
See also mathoverflow.net/questions/52023/… .
– Travis
Nov 20 at 14:27
add a comment |
up vote
0
down vote
favorite
up vote
0
down vote
favorite
It is clear that the closed connected manifold admit non-vanishing vector field if and only if Euler characteristic of the manifold is zero. Let manifold M is non-compact or compact with boundary. Is it true M admits a non-vanishing vector field?
differential-geometry manifolds differential-topology
asked Nov 20 at 14:05
King Khan
395210
It is clear that the closed connected manifold admit non-vanishing vector field if and only if Euler characteristic of the manifold is zero. Let manifold M is non-compact or compact with boundary. Is it true M admits a non-vanishing vector field?
differential-geometry manifolds differential-topology
differential-geometry manifolds differential-topology
asked Nov 20 at 14:05
King Khan
395210
asked Nov 20 at 14:05
King Khan
395210
asked Nov 20 at 14:05
King Khan
395210
asked Nov 20 at 14:05
King Khan
395210
asked Nov 20 at 14:05
King Khan
395210
395210
1
See math.stackexchange.com/questions/586862/… .
– Travis
Nov 20 at 14:26
1
See also mathoverflow.net/questions/52023/… .
– Travis
Nov 20 at 14:27
add a comment |
1
See math.stackexchange.com/questions/586862/… .
– Travis
Nov 20 at 14:26
1
See also mathoverflow.net/questions/52023/… .
– Travis
Nov 20 at 14:27
1
1
See math.stackexchange.com/questions/586862/… .
– Travis
Nov 20 at 14:26
See math.stackexchange.com/questions/586862/… .
– Travis
Nov 20 at 14:26
1
1
See also mathoverflow.net/questions/52023/… .
– Travis
Nov 20 at 14:27
See also mathoverflow.net/questions/52023/… .
– Travis
Nov 20 at 14:27
add a comment |
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See math.stackexchange.com/questions/586862/… .
– Travis
Nov 20 at 14:26
1
See also mathoverflow.net/questions/52023/… .
– Travis
Nov 20 at 14:27