Abstract
Reviewed are ideas underlying our concept of affinely-rigid body. We do this from the perspective of the Leonhard Euler two main achievements, known under his name: the mechanics of rigid body and the dynamics of incompressible ideal fluid. But we formulate the theory which is somehow placed between those two models. Our scheme is a finite-dimensional dynamical system, but admitting deformative degrees of freedom. We also stress the connection with the general idea of affine invariance in physics.
Information
Published: 1 January 2015
First available in Project Euclid: 13 July 2015
zbMATH: 1352.37158
MathSciNet: MR3363837
Digital Object Identifier: 10.7546/giq-16-2015-36-72
Rights: Copyright © 2015 Institute of Biophysics and Biomedical Engineering, Bulgarian Academy of Sciences
