Rigidity for the four gradient problem

We prove a general rigidity result for the maximal possible number of gradients by showing that any lipschitz function using four pairwise not rank-one connected gradients is necessarily affine. This exhibits an interesting difference between rigidity features of approximate and exact solutions of d...

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Bibliographic Details
Main Authors: Chlebik, M, Kirchheim, B
Format: Journal article
Language:English
Published: 2002