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.
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Original Russian Text Copyright © 2008 Glotko N. V.
The author was partially supported by the State Maintenance Program for the Junior Scientists and the Leading Scientific Schools of the Russian Federation (Grant NSh-8526.2006.1) and INTAS (Grant 03-51-3251).
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Translated from Sibirskiĭ Matematicheskiĭ Zhurnal, Vol. 49, No. 1, pp. 23–42, January–February, 2008.
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Glotko, N.V. The spectrum of the Laplacian on the warped products of Riemannian manifolds. Sib Math J 49, 18–35 (2008). https://doi.org/10.1007/s11202-008-0003-2
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DOI: https://doi.org/10.1007/s11202-008-0003-2