A characterization of harmonic foliations by the volume preserving property of the normal geodesic flow

Hobum Kim

International Journal of Mathematics and Mathematical Sciences, 2002, vol. 29, 1-5

Abstract:

We prove that a Riemannian foliation with the flat normal connection on a Riemannian manifold is harmonic if and only if the geodesic flow on the normal bundle preserves the Riemannian volume form of the canonical metric defined by the adapted connection.

Date: 2002
References: Add references at CitEc
Citations:

Downloads: (external link)
http://downloads.hindawi.com/journals/IJMMS/29/651316.pdf (application/pdf)
http://downloads.hindawi.com/journals/IJMMS/29/651316.xml (text/xml)

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:hin:jijmms:651316

DOI: 10.1155/S0161171202007822

Access Statistics for this article

More articles in International Journal of Mathematics and Mathematical Sciences from Hindawi
Bibliographic data for series maintained by Mohamed Abdelhakeem ().