N. V. Glotko, “The spectrum of the Laplacian on the warped products of Riemannian manifolds”, Sibirsk. Mat. Zh., 2008, Volume 49, Number 1,Pages <nobr>23

The spectrum of the Laplacian on the warped products of Riemannian manifolds

N. V. Glotko

Abstract: We describe the essential spectrum of the Laplacian over the degree $k$ forms on a class of warped products with a two-dimensional base.

Keywords: Laplacian, differential form, warped product of Riemannian manifolds, essential spectrum of a selfadjoint operator.

UDC: 517.954+517.984.5

Received: 10.08.2006

English version: Siberian Mathematical Journal, 2008, 49:1, 18–35

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