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Sibirskii Matematicheskii Zhurnal, 2008, Volume 49, Number 1, Pages 23–42 (Mi smj1820)  
The spectrum of the Laplacian on the warped products of Riemannian manifolds

N. V. Glotko
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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.
Received: 10.08.2006
English version:
Siberian Mathematical Journal, 2008, Volume 49, Issue 1, Pages 18–35
DOI: https://doi.org/10.1007/s11202-008-0003-2
Bibliographic databases:
UDC: 517.954+517.984.5
Language: Russian
Citation: N. V. Glotko, “The spectrum of the Laplacian on the warped products of Riemannian manifolds”, Sibirsk. Mat. Zh., 49:1 (2008), 23–42; Siberian Math. J., 49:1 (2008), 18–35
Citation in format AMSBIB
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