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

Abstract

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.

69 pages

References in corpus (3)

• Affine symmetry in mechanics of collective and internal modes. Part II. Quantum models
• Affine symmetry in mechanics of collective and internal modes. Part I. Classical models
• Two-body problem on spaces of constant curvature