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

arxiv: 1012.4926 · v4 · pith:HYMBXR3Mnew · 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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keywords someanalyticaldiscussmethodsperspectivesaffineaffinelybodies

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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.

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

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