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A Riemannian version of Korn’s inequality. (English) Zbl 1006.74011
Summary: 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 boundary values.

MSC:
74B05 Classical linear elasticity
58J32 Boundary value problems on manifolds
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