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On Compact Solvability of Differentials of an Elliptic Differential Complex

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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.

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Kuz'minov, V.I., Shvedov, I.A. On Compact Solvability of Differentials of an Elliptic Differential Complex. Siberian Mathematical Journal 44, 1003–1014 (2003). https://doi.org/10.1023/B:SIMJ.0000007476.30449.b6

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  • DOI: https://doi.org/10.1023/B:SIMJ.0000007476.30449.b6

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