Long time behavior of leafwise heat flow for Riemannian foliations
dg-ga
2025-05-15 v3 Differential Geometry
Abstract
For any Riemannian foliation F on a closed manifold M with an arbitrary bundle-like metric, leafwise heat flow of differential forms is proved to preserve smoothness on M at infinite time. This result and its proof have consequences about the space of bundle-like metrics on M, about the dimension of the space of leafwise harmonic forms, and mainly about the second term of the differentiable spectral sequence of F.
Keywords
Cite
@article{arxiv.dg-ga/9612010,
title = {Long time behavior of leafwise heat flow for Riemannian foliations},
author = {Jesus A. Alvarez Lopez and Yuri A. Kordyukov},
journal= {arXiv preprint arXiv:dg-ga/9612010},
year = {2025}
}
Comments
LaTeX, 25 pages. A correction of a corollary with an example was included as an addendum to the original manuscript, with 3 additional pages