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Mean curvature of Riemannian foliations
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