According to my book, if $M$ is a smooth manifold the global smooth vector fields form an infinite-dimensional Lie algebra.
However, how do we know of the existence of even one vector field and then how do we know the number of them is infinite?
2026-03-27 07:48:27.1774597707
Existence of global vector fields on a smooth manifold
389 Views Asked by user555729 https://math.techqa.club/user/user555729/detail AtRelated Questions in DIFFERENTIAL-GEOMETRY
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