Open Access
December 2005 Eigenforms of the Laplacian for Riemannian V-submersions
Peter Gilkey, Hong-Jong Kim, JeongHyeong Park
Tohoku Math. J. (2) 57(4): 505-519 (December 2005). DOI: 10.2748/tmj/1140727070

Abstract

We study when the pull-back of an eigenform of the Laplacian on the base of a compact Riemannian $V$-submersion is an eigenform of the Laplacian on the total space of the submersion, and when the associated eigenvalue can change.

Citation

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Peter Gilkey. Hong-Jong Kim. JeongHyeong Park. "Eigenforms of the Laplacian for Riemannian V-submersions." Tohoku Math. J. (2) 57 (4) 505 - 519, December 2005. https://doi.org/10.2748/tmj/1140727070

Information

Published: December 2005
First available in Project Euclid: 23 February 2006

zbMATH: 1106.58022
MathSciNet: MR2203544
Digital Object Identifier: 10.2748/tmj/1140727070

Subjects:
Primary: 58J50

Keywords: eigenform , eigenfunction , Laplacian , Riemannian V-submersion

Rights: Copyright © 2005 Tohoku University

Vol.57 • No. 4 • December 2005
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