## Tohoku Mathematical Journal

### Eigenforms of the Laplacian for Riemannian V-submersions

#### 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.

#### Article information

Source
Tohoku Math. J. (2), Volume 57, Number 4 (2005), 505-519.

Dates
First available in Project Euclid: 23 February 2006

https://projecteuclid.org/euclid.tmj/1140727070

Digital Object Identifier
doi:10.2748/tmj/1140727070

Mathematical Reviews number (MathSciNet)
MR2203544

Zentralblatt MATH identifier
1106.58022

#### Citation

Gilkey, Peter; Kim, Hong-Jong; Park, JeongHyeong. Eigenforms of the Laplacian for Riemannian V-submersions. Tohoku Math. J. (2) 57 (2005), no. 4, 505--519. doi:10.2748/tmj/1140727070. https://projecteuclid.org/euclid.tmj/1140727070

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