A note on the geometry of defromable bodies
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The geometric setting for manybody systems is extended
to that for deformable bodies.
If the deformations of the body
are restricted to general linear transformations,
one can set up a geometric theory of on the group
$GL(n,{\bf R})$.
A suitable connection and a metric are
defined on $GL(n,{\bf R})$.
Vibrational motions of the
deformable body can be discussed accordingly.
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