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Lobachevskii Journal of Mathematics, 2004, Volume 14, Pages 39–54
(Mi ljm90)
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This article is cited in 1 scientific paper (total in 1 paper)
Structure of function algebras on foliated manifolds
P. N. Ivanshin N. G. Chebotarev Research Institute of Mathematics and Mechanics, Kazan State University
Abstract:
We consider a manifold $M$ with a foliation $F$ given by a locally free action of a commutative Lie group $H$. Also we assume that there exists an integrable Ehresmann connection on $(M; F)$ invariant with respect to the action of the group $H$. We get the structure of the restriction of the algebra $C_0(M)$ to the leaves in three partial cases. Also
we consider a classification of the quasiinvariant measures and means on the leaves of $F$.
Keywords:
Foliation, groupoid, group action Ehresmann connection, quasiinvariant measure, leaf function, invariant metric.
Citation:
P. N. Ivanshin, “Structure of function algebras on foliated manifolds”, Lobachevskii J. Math., 14 (2004), 39–54
Linking options:
https://www.mathnet.ru/eng/ljm90 https://www.mathnet.ru/eng/ljm/v14/p39
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Abstract page: | 175 | Full-text PDF : | 68 | References: | 26 |
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