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Transactions of the American Mathematical Society

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

 

 

Notes on square-integrable cohomology spaces on certain foliated manifolds


Author: Shinsuke Yorozu
Journal: Trans. Amer. Math. Soc. 255 (1979), 329-341
MSC: Primary 57R30
DOI: https://doi.org/10.1090/S0002-9947-1979-0542884-6
MathSciNet review: 542884
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Abstract: We discuss some square-integrable cohomology spaces on a foliated manifold with one-dimensional foliation whose leaves are compact and with a complete bundle-like metric. Applications to a contact manifold are given.


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DOI: https://doi.org/10.1090/S0002-9947-1979-0542884-6
Keywords: Riemannian foliated manifold, bundle-like metric, square-integrable cohomology
Article copyright: © Copyright 1979 American Mathematical Society