Charles P. Boyer and Krzysztof Galicki
- Published in print:
- 2007
- Published Online:
- January 2008
- ISBN:
- 9780198564959
- eISBN:
- 9780191713712
- Item type:
- chapter
- Publisher:
- Oxford University Press
- DOI:
- 10.1093/acprof:oso/9780198564959.003.0003
- Subject:
- Mathematics, Geometry / Topology
As Sasakian manifolds are all examples of Riemannian foliations with one-dimensional leaves, this chapter goes into the world of foliations with a particular focus on the Riemannian case. Haeiger ...
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As Sasakian manifolds are all examples of Riemannian foliations with one-dimensional leaves, this chapter goes into the world of foliations with a particular focus on the Riemannian case. Haeiger structures, leaf holonomy, the holonomy groupoid, and basic cohomology are introduced, focusing on the transverse geometry of Riemannian foliations, in particular, Riemannian ows. Certain invariants such as the toral rank are introduced.Less
As Sasakian manifolds are all examples of Riemannian foliations with one-dimensional leaves, this chapter goes into the world of foliations with a particular focus on the Riemannian case. Haeiger structures, leaf holonomy, the holonomy groupoid, and basic cohomology are introduced, focusing on the transverse geometry of Riemannian foliations, in particular, Riemannian ows. Certain invariants such as the toral rank are introduced.
