Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS

   
Mobile Device Pairing
Green Open Access
Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

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
MathSciNet review: 712652
Full-text PDF Free Access

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].


References [Enhancements On Off] (What's this?)


Similar Articles

Retrieve articles in Proceedings of the American Mathematical Society with MSC: 53C12, 57R30

Retrieve articles in all journals with MSC: 53C12, 57R30


Additional Information

DOI: http://dx.doi.org/10.1090/S0002-9939-1983-0712652-7
PII: S 0002-9939(1983)0712652-7
Article copyright: © Copyright 1983 American Mathematical Society