On compact solvability of differentials of an elliptic differential complex

V. I. Kuzminov; I. A. Shvedov

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On compact solvability of differentials of an elliptic differential complex

机译：椭圆型微分复数的微分的紧可解性

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摘要

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.

机译：我们找到了非紧黎曼流形上椭圆型微分复数的微分的紧凑可解性的充分条件。作为主要示例，我们考虑了具有圆柱端的流形上的微分形式的de Rham复数。

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《Siberian Mathematical Journal》 |2003年第6期|共12页
作者
V. I. Kuzminov; I. A. Shvedov;
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正文语种 eng
中图分类数学;
关键词
elliptic differential complex; compactly solvable operator; differential form; operator of exterior differentiation;

机译：椭圆微分复合体;紧可解算子;微分形式;外微分算子;

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On compact solvability of differentials of an elliptic differential complex

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