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Sibirskii Matematicheskii Zhurnal, 2007, Volume 48, Number 3, Pages 621–630 (Mi smj52)  
This article is cited in 1 scientific paper (total in 1 paper)

On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends

V. I. Kuz'minov, I. A. Shvedov

Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
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Abstract: We formulate some conditions for the normal and compact solvability of the operator of exterior derivation on the cylindrical manifolds equipped with some Riemannian metrics. Some analogous results were obtained in the particular case of warped cylinders [1].
Keywords: differential form, normal and compact solvability of linear operators, Hardy's inequality.
Received: 10.01.2007
English version:
Siberian Mathematical Journal, 2007, Volume 48, Issue 3, Pages 500–507
DOI: https://doi.org/10.1007/s11202-007-0052-y
Bibliographic databases:
UDC: 515.164.13
Language: Russian
Citation: V. I. Kuz'minov, I. A. Shvedov, “On the operator of exterior derivation on the Riemannian manifolds with cylindrical ends”, Sibirsk. Mat. Zh., 48:3 (2007), 621–630; Siberian Math. J., 48:3 (2007), 500–507
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Сибирский математический журнал Siberian Mathematical Journal
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