Affine Bodies Revisited. Constraints, Symmetry, Analytical Methods and Some Perspectives

Details Affine Bodies Revisited. Constraints, Symmetry, Analytical Methods and Some Perspectives Affine Bodies Revisited. Constraints, Symmetry, Analytical Methods and Some Perspectives

2010-12-22

arxiv.org/abs/1012.4926v3

Physics

Mathematical Physics

69 pages

Scientific paper

The purpose of this publication is to derive and discuss equations of motion
of affinely rigid (homogeneously deformable) body moving in Euclidean space of
general dimension $n$. Our aim is to present some analytical methods and to
discuss geometric structure and invariance properties of the theory. Some
perspectives of further developments are also discussed.

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