Shows a relationship between mean curvature and Riemannian metrics in taut foliations, suggesting implications for manifold structures.
Given a codimension-one foliation of a not necessarily closed manifold M. We show a relation between the changes of Riemannian metrics and the mean curvature functions, and derive some consequences when F is a taut foliation. A relation between these results and a characterization of admissible vector fi elds is also discussed.
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源一 押切 (2010) studied this question.
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