Abstract
We show that a codimension-one minimal foliation with growth at most 2 of a complete Riemannian manifold with non-negative Ricci curvature is totally geodesic. We present some foliated versions of the result given by Alencar and do Carmo, and of minimal graphs by Miranda. Further, we simplify the proof of Meeks' result concerning constant mean curvature foliations of 3-dimensional Euclidean space.
Citation
Gen-ichi Oshikiri. "Some differential geometric properties of codimension-one foliations of polynomial growth." Tohoku Math. J. (2) 54 (2) 319 - 328, 2002. https://doi.org/10.2748/tmj/1113247570
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