Analysis on Riemannian foliations of bounded geometry

Abstract

A leafwise Hodge decomposition was proved by Sanguiao for Riemannian foliations of bounded geometry. Its proof is explained again in terms of our study of bounded geometry for Riemannian foliations. It is used to associate smoothing operators to foliated flows, and describe their Schwartz kernels. All of this is extended to a leafwise version of the Novikov differential complex.

46 pages

References in corpus (1)

• Arithmetic Geometry and Analysis on Foliated Spaces

Cited by in corpus (2)

• Sub-signature Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary
• Dirac-Witten Operators and the Kastler-Kalau-Walze type theorem for manifolds with boundary