Mathematics – Differential Geometry
Scientific paper
2005-05-19
Ann. inst. Fourier, 60 (1), p. 257-290, 2010
Mathematics
Differential Geometry
36 pages, 2 figures, in french (english summary). v3: minor corrections
Scientific paper
Let F be a riemannian flow on a closed manifold M. We study the behavior of the first eigenvalues of the Hodge Laplacian acting on differential forms under adiabatic collapsing of the flow. We show that the number of small eigenvalues is related to the basic cohomology of F, and give spectral criteria for the vanishing of the \'Alvarez class and the Euler class of F. We also define a diophantine invariant of the flow wich is related to the asymptotical behavior of the small eigenvalues. An appendix is devoted to arithmetic properties of riemannian flows.
No associations
LandOfFree
Effondrement, spectre et propriétés diophantiennes des flots riemanniens does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.
If you have personal experience with Effondrement, spectre et propriétés diophantiennes des flots riemanniens, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Effondrement, spectre et propriétés diophantiennes des flots riemanniens will most certainly appreciate the feedback.
Profile ID: LFWR-SCP-O-582085