A Riemannian version of Korn's inequality |
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| Authors: | Wenyi Chen Jürgen Jost |
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| Institution: | (1) Max Planck Institute for Mathematics in the Sciences, Inselstr. 22–26, 04103 Leipzig, Germany , DE;(2) Department of Mathematics, Wuhan University, Wuhan, P. R. China 430072 , CH |
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| Abstract: | We prove a Korn type inequality for vector fields on a Riemann manifold. This inequality includes the special cases proved
in the literature for domains in . If the domain is convex, we can considerably weaken the needed assumption on the boundary values.
Received: 26 January 2001 / Accepted: 11 May 2001 / Published online: 19 October 2001 |
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| Keywords: | Mathematics Subject Classification (1991): 73C02 53B20 |
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