If $X$ is a vector field on a manifold $M$ then we know $$\Phi^{-X}_t=\Phi_{-t}^X.$$ How is the flow of $X$ related to the flow of $-X$ in the time dependent case?
Thanks.
2026-04-08 00:04:52.1775606692
Time-dependent flow of $X$ and $-X$?
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