Park, Efton; Richardson, Ken The basic Laplacian of a Riemannian foliation. (English) Zbl 0865.58047 Am. J. Math. 118, No. 6, 1249-1275 (1996). Author’s abstract: “We study the basic Laplacian on Riemannian foliations by writing the basic Laplacian in terms of the orthogonal projection from square-integrable forms to basic square-integrable forms. Using a geometric interpretation of this projection, we relate the ordinary Laplacian to the basic Laplacian. Among other results, we show the existence of the basic heat kernel and establish estimates for the eigenvalues of the basic Laplacian”. Reviewer: G.E.Karadzhov (Sofia) Cited in 4 ReviewsCited in 42 Documents MSC: 58J50 Spectral problems; spectral geometry; scattering theory on manifolds Keywords:Laplacian; Riemannian foliations; orthogonal projection; square-integrable forms; eigenvalues PDFBibTeX XMLCite \textit{E. Park} and \textit{K. Richardson}, Am. J. Math. 118, No. 6, 1249--1275 (1996; Zbl 0865.58047) Full Text: DOI Link