Some differential geometric properties of codimension-one foliations of polynomial growth
Oshikiri, Gen-ichi
Tohoku Math. J. (2), Tome 54 (2002) no. 1, p. 319-328 / Harvested from Project Euclid
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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.
Publié le : 2002-06-14
Classification:  53C12,  57R30 
@article{1113247570,
     author = {Oshikiri, Gen-ichi},
     title = {Some differential geometric properties of codimension-one foliations of polynomial growth},
     journal = {Tohoku Math. J. (2)},
     volume = {54},
     number = {1},
     year = {2002},
     pages = { 319-328},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1113247570}
}

Oshikiri, Gen-ichi. Some differential geometric properties of codimension-one foliations of polynomial growth. Tohoku Math. J. (2), Tome 54 (2002) no. 1, pp.  319-328. http://gdmltest.u-ga.fr/item/1113247570/