Journal article
Mean curvature of Riemannian foliations
Abstract
Abstract
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.
Authors
March P; Min-Oo M; Ruh EA
Journal
Canadian Mathematical Bulletin, Vol. 39, No. 1, pp. 95–105
Publisher
Canadian Mathematical Society
Publication Date
March 1, 1996
DOI
10.4153/cmb-1996-012-4
ISSN
0008-4395