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Sibirskii Matematicheskii Zhurnal, 2003, Volume 44, Number 6, Pages 1280–1294
(Mi smj1255)
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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
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
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
Linking options:
https://www.mathnet.ru/eng/smj1255 https://www.mathnet.ru/eng/smj/v44/i6/p1280
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