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Eigenforms of the Laplacian for Riemannian V-submersions

Peter B. Gilkey, Hong-Jong Kim, JeongHyeong Park

math.DGarXiv:math/0310439

Abstract

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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