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

A. Martens; B. Go{\l}ubowska; E. E. Ro\.zko; E. Gobcewicz; J. J. S{\l}awianowski; V. Kovalchuk

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arxiv 1012.4926 v4 pith:HYMBXR3M submitted 2010-12-22 math-ph math.MP

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

J. J. S{\l}awianowski , B. Go{\l}ubowska , E. E. Ro\.zko , V. Kovalchuk , A. Martens , E. Gobcewicz This is my paper

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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.

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

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