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Rotations with constant Curl are constant

Submitted by Amit Acharya on

Janusz Ginster        Amit Acharya

to appear Archive for Rational Mechanics and Analysis

We address a problem that extends a fundamental classical result of
continuum mechanics from the time of its inception, as well as answers a fundamental
question in the recent, modern nonlinear elastic theory of dislocations.
Interestingly, the implication of our result in the latter case is qualitatively di fferent
from its well-established analog in the linear elastic theory of dislocations.

Preprint