Note on the residues of the singularities of a Riemannian foliation
Author:
Xiang Ming Mei
Journal:
Proc. Amer. Math. Soc. 89 (1983), 359-366
MSC:
Primary 53C12; Secondary 57R30
DOI:
https://doi.org/10.1090/S0002-9939-1983-0712652-7
MathSciNet review:
712652
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Abstract | References | Similar Articles | Additional Information
Abstract: We generalize the result of Lazarov and Pasternack [3] on the residues of the singularities of a Riemannian foliation and give an explicit formula of the residues of the connected components of the singular set of a Riemannian foliation without any restriction on the dimension of the connected components of its singular set. This formula is also the generalization of the residues formula of the zero set of the Killing vector field due to Baum and Cheeger [6].
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- [3] C. Lazarov and J. Pasternack, Residues and characteristic classes for Riemannian foliations, J. Differential Geom. 11 (1976), 599-612. MR 0445514 (56:3854)
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- [7] J. Pasternack, Foliation and compact Lie group action, Comment. Math. Helv 46 (1971), 467-477. MR 0300307 (45:9353)
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Additional Information
DOI:
https://doi.org/10.1090/S0002-9939-1983-0712652-7
Article copyright:
© Copyright 1983
American Mathematical Society