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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 6, Pages 1280–1294 (Mi smj1255)  
This article is cited in 1 scientific paper (total in 1 paper)

On compact solvability of differentials of an elliptic differential complex

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 find sufficient conditions for compact solvability of differentials of an elliptic differential complex on a noncompact Riemannian manifold. As the main example we consider the de Rham complex of differential forms on a manifold with cylindrical ends.
Keywords: elliptic differential complex, compactly solvable operator, differential form, operator of exterior differentiation.
Received: 03.09.2003
English version:
Siberian Mathematical Journal, 2003, Volume 44, Issue 6, Pages 1003–1014
DOI: https://doi.org/10.1023/B:SIMJ.0000007476.30449.b6
Bibliographic databases:
UDC: 512.66
Language: Russian
Citation: V. I. Kuz'minov, I. A. Shvedov, “On compact solvability of differentials of an elliptic differential complex”, Sibirsk. Mat. Zh., 44:6 (2003), 1280–1294; Siberian Math. J., 44:6 (2003), 1003–1014
Citation in format AMSBIB
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\jour Siberian Math. J.
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\pages 1003--1014
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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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