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arxiv: math/0310439 · v1 · submitted 2003-10-28 · 🧮 math.DG · math-ph· math.MP

Eigenforms of the Laplacian for Riemannian V-submersions

classification 🧮 math.DG math-phmath.MP
keywords laplacianeigenformriemannianwhenassociatedchangecompacteigenforms
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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.

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