A. Shachar

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math.DG2018

A geometric perspective on the Piola identity in Riemannian settings

Raz Kupferman, Asaf Shachar

The Piola identity $div cof \nabla f = 0$ is a central result in the mathematical theory of elasticity. We prove a generalized version of the Piola iden…

math.DG2018

Regularity via minors and applications to conformal maps

Asaf Shachar

We prove that if the minors of degree $k$ of a Sobolev map $R^{d} \to R^{d}$ are smooth then the map is smooth, when $k, d$ are not both even. We use this result to de…