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International Congress on Differential Geometry in memory of Alfred Gray (1939-1998)
September 18-23, 2000
Universidad del País Vasco
Bilbao, Spain

Organizers
M. Fernández (chairman), R. Ibáñez, M. Macho-Stadler

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The Gysin sequence for riemannian flows
by
José Ignacio Royo-Prieto
Universidad del País Vasco-Euskal Herriko Unibertsitatea, Spain

Poster

Let F be a riemannian flow on a closed manifold M. The Gysin sequence relating the basic cohomology of F and the deRham cohomology of M has been constructed for isometric flows in [KamTon]. In this paper, we extend it to the case of riemannian flows. In particular, we show that the terms E12 and E02 in the spectral sequence of a riemannian flow are dual.

References:

[KamTon] F. Kamber and P. Tondeur, Foliations and metrics, Proc. of a Year in Diff. Geom., University of Maryland, Birkhäusser, Progr. in Maths 32, 1983.

Research supported by Gobierno Vasco - Eusko Jaurlaritza and UPV-EHU127.310-EA 005/99

Date received: May 31, 2000

Copyright © 2000 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cafh-01.