Tohoku Mathematical Journal, Second Series
Online ISSN : 2186-585X
Print ISSN : 0040-8735
ISSN-L : 0040-8735
EIGENFORMS OF THE LAPLACIAN FOR RIEMANNIAN $V$-SUBMERSIONS
PETERE GILKEY, HONG-JONG KIM, JEONGHYEONG PARK
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Keywords: Laplacian, eigenfunction, eigenform, Riemannian $V$-submersion
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2005 Volume 57 Issue 4 Pages 505-519

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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.
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© 2005 by THE TOHOKU UNIVERSITY
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Tohoku Mathematical Journal, First Series

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