The spectral geometry of Riemannian submersions for manifolds with boundary

DOI10.1216/rmjm/1022008997zbMath0977.58027OpenAlexW2031071258WikidataQ115239954 ScholiaQ115239954MaRDI QIDQ5928680

Jeong Hyeong Park

Publication date: 1 April 2001

Published in: Rocky Mountain Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: http://math.la.asu.edu/~rmmc/rmj/VOL30-1/CONT30-1/CONT30-1.html

zbMATH Keywords

Dirichlet boundary conditionsNeumann boundary conditionsabsolute boundary conditionsform valued Laplacianrelative boundary conditionsRiemannian submersion

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Boundary value problems on manifolds (58J32)

Related Items

Eigenforms of the spin Laplacian and projectable spinors for principal bundles ⋮ Eigenforms of the Laplacian for Riemannian \(V\)-submersions

Cites Work

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• Riemannian submersions commuting with the Laplacian
• Riemannian submersion and the Laplace-Beltrami operator
• Riemannian submersions which preserve the eigenforms of the Laplacian
• Manifold maps commuting with the Laplacian
• Eigenvalues of the form valued Laplacian for Riemannian submersions