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 \(\mathbb{R}^3\). If the domain is convex, we can considerably weaken the needed assumption on the boundary values.
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Received: 26 January 2001 / Accepted: 11 May 2001 / Published online: 19 October 2001
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Chen, W., Jost, J. A Riemannian version of Korn's inequality. Calc Var 14, 517–530 (2002). https://doi.org/10.1007/s005260100113
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DOI: https://doi.org/10.1007/s005260100113