Mean Curvature of Riemannian Foliations
Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 95-105
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It is shown that a suitable conformai change of the metric in the leaf direction of a transversally oriented Riemannian foliation on a closed manifold will make the basic component of the mean curvature harmonic. As a corollary, we deduce vanishing and finiteness theorems for Riemannian foliations without assuming the harmonicity of the basic mean curvature.
March, Peter; Min-Oo, Maung; Ruh, Ernst A. Mean Curvature of Riemannian Foliations. Canadian mathematical bulletin, Tome 39 (1996) no. 1, pp. 95-105. doi: 10.4153/CMB-1996-012-4
@article{10_4153_CMB_1996_012_4,
author = {March, Peter and Min-Oo, Maung and Ruh, Ernst A.},
title = {Mean {Curvature} of {Riemannian} {Foliations}},
journal = {Canadian mathematical bulletin},
pages = {95--105},
year = {1996},
volume = {39},
number = {1},
doi = {10.4153/CMB-1996-012-4},
url = {http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-012-4/}
}
TY - JOUR AU - March, Peter AU - Min-Oo, Maung AU - Ruh, Ernst A. TI - Mean Curvature of Riemannian Foliations JO - Canadian mathematical bulletin PY - 1996 SP - 95 EP - 105 VL - 39 IS - 1 UR - http://geodesic.mathdoc.fr/articles/10.4153/CMB-1996-012-4/ DO - 10.4153/CMB-1996-012-4 ID - 10_4153_CMB_1996_012_4 ER -
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