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Eigenforms of the Laplacian for Riemannian V-submersions

Differential Geometry 2007-05-23 v1 Mathematical Physics math.MP

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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Cite

@article{arxiv.math/0310439,
  title  = {Eigenforms of the Laplacian for Riemannian V-submersions},
  author = {Peter B. Gilkey and Hong-Jong Kim and JeongHyeong Park},
  journal= {arXiv preprint arXiv:math/0310439},
  year   = {2007}
}

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13 pages