On deforming confoliations

Citation
Sj. Altschuler et Lf. Wu, On deforming confoliations, J DIFF GEOM, 54(1), 2000, pp. 75-97
Citations number
18
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF DIFFERENTIAL GEOMETRY
ISSN journal
0022040X → ACNP
Volume
54
Issue
1
Year of publication
2000
Pages
75 - 97
Database
ISI
SICI code
0022-040X(200001)54:1<75:ODC>2.0.ZU;2-Z
Abstract
We present a parabolic deformation of one-forms on compact, orientable, odd -dimensional manifolds. The flow produces contact forms from the class of i nitial conditions called "conductive confoliations". We give applications o f these techniques to new constructions of contact forms on products of con tact manifolds with surfaces. In particular, we produce contact forms on th e product of any three dimensional manifold with any surface.