Eigenforms of the Laplacian for Riemannian V-submersions
Copyright policy )Eigenforms of the Laplacian for Riemannian V-submersions
Let p: Z -> Y be a Riemannian V-submersion of compact V-manifolds. We study when the pull-back of an eigenform of the Laplacian on Y is an eigenform of the Laplacian on Z, and when the associated eigenvalue can change.
13 pages
- Seoul National University Korea (Republic of)
- University of Oregon United States
- Sungkyul University Korea (Republic of)
- Sungkyunkwan University Korea (Republic of)
Mathematics - Differential Geometry, Spectral problems; spectral geometry; scattering theory on manifolds, FOS: Physical sciences, Mathematical Physics (math-ph), 58J50, eigenform, Riemannian V-submersion, Differential Geometry (math.DG), FOS: Mathematics, Riemannian \(V\)-submersion, eigenfunction, Laplacian, Mathematical Physics
Mathematics - Differential Geometry, Spectral problems; spectral geometry; scattering theory on manifolds, FOS: Physical sciences, Mathematical Physics (math-ph), 58J50, eigenform, Riemannian V-submersion, Differential Geometry (math.DG), FOS: Mathematics, Riemannian \(V\)-submersion, eigenfunction, Laplacian, Mathematical Physics
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