The integrability tensor for bundle-like foliations
Author:
Richard H. Escobales
Journal:
Trans. Amer. Math. Soc. 270 (1982), 333-339
MSC:
Primary 57R30; Secondary 53C21
DOI:
https://doi.org/10.1090/S0002-9947-1982-0642345-X
MathSciNet review:
642345
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Abstract: A certain function is introduced which is useful in the study of a bundle-like foliation on a Riemannian manifold. Under the assumption that the leaves are totally geodesic, the Laplacian of this function is computed along a leaf. From this computation a sufficient condition is provided for the ambient manifold to be locally isometric to a product.
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Article copyright:
© Copyright 1982
American Mathematical Society
