Long time behavior of leafwise heat flow for Riemannian foliations

Details Long time behavior of leafwise heat flow for Riemannian foliations Long time behavior of leafwise heat flow for Riemannian foliations

1996-12-10

arxiv.org/abs/dg-ga/9612010v2

Mathematics

Differential Geometry

LaTeX, 25 pages

Scientific paper

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.

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