Volume 11, Issue Supplement 1, October 2004, Pages 138 - 144
Action-Angle Analysis of Some Geometric Models of Internal Degrees of Freedom
Available Online 1 October 2004.
- https://doi.org/10.2991/jnmp.2004.11.s1.18How to use a DOI?
- We derive and discuss equations of motion of infinitesimal affinely-rigid body moving in Riemannian spaces. There is no concept of extended rigid and affinely rigid body in a general Riemannian space. Therefore the gyroscopes with affine degrees of freedom are described as moving bases attached to the material point. This base is a remnant of extended rigid and affinely rigid body in a flat space. The special stress is laid on affinely rigid bodies in two-dimensional constant curvature spaces (sphere and pseudosphere). In particular, we consider incompressible affinely rigid bodies, like, e.g. fat spots on a water surface (e.g. petrol pollution). This is a two-dimensional analogue of three-dimensional incompressible objects like fluid droplets.
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Cite this article
TY - JOUR AU - Barbara Gołubowska PY - 2004 DA - 2004/10 TI - Action-Angle Analysis of Some Geometric Models of Internal Degrees of Freedom JO - Journal of Nonlinear Mathematical Physics SP - 138 EP - 144 VL - 11 IS - Supplement 1 SN - 1776-0852 UR - https://doi.org/10.2991/jnmp.2004.11.s1.18 DO - https://doi.org/10.2991/jnmp.2004.11.s1.18 ID - Gołubowska2004 ER -