On the notion of -completeness of a stochastic flow on a manifold
We introduce the notion of -completeness for a stochastic flow on manifold and prove a necessary and sufficient condition for a flow to be -complete. -completeness means that the flow is complete (i.e., exists on the given time interval) and that it belongs to some sort of -functional space, natural for manifolds where no Riemannian metric is specified.
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