| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4606326 | Differential Geometry and its Applications | 2009 | 6 Pages |
Abstract
In this paper we study the interplay between adiabatic limits of a Riemannian foliation and the classical Weitzenböck formula. For the leafwise part, our study leads to a vanishing result for the first order term Eˆ1 of differential spectral sequence associated with the foliation. For the transversal part we obtain a Weitzenböck type formula which is an extension of the previous formula for basic forms due to Ph. Tondeur, M. Min-Oo, and E. Ruh, and is also more general than a Weitzenböck formula for transverse fiber bundle due to Y. Kordyukov.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Vladimir Slesar,