Note on the residues of the singularities of a Riemannian foliation

Mei, Xiang Ming

doi:10.1090/S0002-9939-1983-0712652-7

Note on the residues of the singularities of a Riemannian foliation
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by Xiang Ming Mei

Proc. Amer. Math. Soc. 89 (1983), 359-366

DOI: https://doi.org/10.1090/S0002-9939-1983-0712652-7

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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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