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An Integral Formula on Seifert Bundles

Published online by Cambridge University Press:  20 November 2018

Amine Fawaz
Amine Fawaz*
Affiliation:
Department of Mathematics The University of Texas of the Permian Basin 4901 East University Odessa, TX 79762 U.S.A., e-mail: fawaz_a@utpb.edu
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Abstract

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We prove an integral formula on closed oriented manifolds equipped with a codimension two foliation whose leaves are compact.

Keywords

53C1253C15
Type
Research Article
Information
Canadian Mathematical Bulletin , Volume 47 , Issue 3 , 01 September 2004 , pp. 354 - 357
Copyright
Copyright © Canadian Mathematical Society 2004

References

[1] Edwards, R., Millet, K. and Sullivan, D., Foliations with all leaves compact. Topology 16 (1977), 13–32.Google Scholar
[2] Fawaz, A., A note on Riemannian flows on 3-manifolds. Houston J. Math. 29 (2003), 137–147.Google Scholar
[3] Gallot, S., Hulin, D. and Lafontaine, J., Riemannian Geometry, second edition. Springer-Verlag, Berlin, 1987.Google Scholar
[4] Nicolau, M. and Revent´os, A., On some geometrical properties of Seifert bundles. Israel J. Math. 47 (1984), 323–334.Google Scholar
[5] Ranjan, A., Structural equations and an integral formula for foliated manifolds. Geom. Dedicata 20 (1986), 85–91.Google Scholar
[6] Rummler, H., Quelques notions simples en géométrie riemannienne et leurs applications aux feuilletages compacts. Comment.Math. Helv. 54 (1979), 224–239.Google Scholar
[7] Tondeur, Ph., Geometry of foliations. Birkhauser Verlag, Basel, 1997.Google Scholar
[8] Satake, I., The Gauss-Bonnet theorem for V-manifolds. J. Math. Soc. Japan 9 (1957), 464–492.Google Scholar