Abstract
Given a foliation $\mathcal F$ of a compact manifold $M$ and a vector field $X$ on $M$, we provide some necessary and sufficient conditions for $X$ to become the mean curvature vector of (the leaves of) $\mathcal F$ with respect to some Riemannian metric on $M$.
Citation
Paul Schweitzer. PawełG. Walczak. "Prescribing mean curvature vectors for foliations." Illinois J. Math. 48 (1) 21 - 35, Spring 2004. https://doi.org/10.1215/ijm/1258136171
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