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Umbilic foliations with integrable normal bundle.
- Source :
-
Bulletin des Sciences Mathematiques . Aug2017, Vol. 141 Issue 6, p573-583. 11p. - Publication Year :
- 2017
-
Abstract
- In this paper we study the geometric properties of a couple of mutually orthogonal foliations with complementary dimensions. We recall that from Novikov's theorem, there is no foliation of S 3 by closed curves with integrable normal bundle. Nevertheless, for S 2 k + 1 , k ≥ 2 , Novikov's theorem is not applicable. In this paper we show that on odd-dimensional unit spheres there is no umbilical foliation with integrable normal bundle and divergence free mean curvature vector. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00074497
- Volume :
- 141
- Issue :
- 6
- Database :
- Academic Search Index
- Journal :
- Bulletin des Sciences Mathematiques
- Publication Type :
- Academic Journal
- Accession number :
- 125177549
- Full Text :
- https://doi.org/10.1016/j.bulsci.2017.05.002