首页> 外文期刊>Journal of geometry and symmetry in physics >CLASSICAL MODELS OF AFFINELY-RIGID BODIESWITH 'THICKNESS' IN DEGENERATE DIMENSION
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CLASSICAL MODELS OF AFFINELY-RIGID BODIESWITH 'THICKNESS' IN DEGENERATE DIMENSION

机译:具有“厚度”的退化维度的仿生刚体的经典模型

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The special interest is devoted to such situations when the mater-ial space of object with affine degrees of freedom has generally lower dimensionthan the one of the physical space. In other words when we have m-dimensionalaffinely-rigid body moving in the n-dimensional physical space, m < n. Wemainly concentrate on the physical situation m = 2, n = 3 when "thickness" of flatbodies performs one-dimensional oscillations orthogonal to the two-dimensionalcentral plane of the body. For the isotropic case in two "flat" dimensions somespecial solutions, namely, the stationary ellipses, which are analogous to the el-lipsoidal figures of equilibrium well known in astro- and geophysics, e.g., in thetheory of the Earth's shape, are obtained.
机译:当具有仿射自由度的物体的材料空间的尺寸通常小于物理空间之一的尺寸时,将特别关注这种情况。换句话说,当我们在n维物理空间中移动m维仿射刚体时,m

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