ADIABATIC LIMITS AND RUMINS COMPLEX

Authors
GE Z
Citation
Z. Ge, ADIABATIC LIMITS AND RUMINS COMPLEX, Comptes rendus de l'Academie des sciences. Serie 1, Mathematique, 320(6), 1995, pp. 699-702
Citations number
13
Categorie Soggetti
Mathematics, General",Mathematics
Journal title
Comptes rendus de l'Academie des sciences. Serie 1, Mathematique → ACNP
ISSN journal
07644442
Volume
320
Issue
6
Year of publication
1995
Pages
699 - 702
Database
ISI
SICI code
0764-4442(1995)320:6<699:ALARC>2.0.ZU;2-7
Abstract
It is shown that when the riemannian metric on a contact manifold is b lown up along the direction orthogonal to the contact distribution, th e corresponding harmonic forms will converge to Rumin's harmonic forms . This result can also be reformulated in terms of spectral sequences, after Forman, Mazzeo-Melrose. A key ingredient in the proof is the fa ct that the curvatures become unbounded in a controlled way.