Tohoku Mathematical Journal
2005
December
SECOND SERIES VOL. 57, NO. 4

Tohoku Math. J.
57 (2005), 505-519

Title EIGENFORMS OF THE LAPLACIAN FOR RIEMANNIAN $V$-SUBMERSIONS

Author Peter Gilkey, Hong-Jong Kim and JeongHyeong Park

(Received November 4, 2003, revised June 16, 2004)
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.

2000 Mathematics Subject Classification. Primary 58J50.
Key words and phrases. Laplacian, eigenfunction, eigenform, Riemannian $V$-submersion.

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