Skip to Main Content

Transactions of the American Mathematical Society

Published by the American Mathematical Society since 1900, Transactions of the American Mathematical Society is devoted to longer research articles in all areas of pure and applied mathematics.

ISSN 1088-6850 (online) ISSN 0002-9947 (print)

The 2020 MCQ for Transactions of the American Mathematical Society is 1.48.

What is MCQ? The Mathematical Citation Quotient (MCQ) measures journal impact by looking at citations over a five-year period. Subscribers to MathSciNet may click through for more detailed information.

 

The integrability tensor for bundle-like foliations
HTML articles powered by AMS MathViewer

by Richard H. Escobales PDF
Trans. Amer. Math. Soc. 270 (1982), 333-339 Request permission

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.
References
Similar Articles
  • Retrieve articles in Transactions of the American Mathematical Society with MSC: 57R30, 53C21
  • Retrieve articles in all journals with MSC: 57R30, 53C21
Additional Information
  • © Copyright 1982 American Mathematical Society
  • 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