Physics – Mathematical Physics
Scientific paper
2006-02-22
New J.Phys. 8 (2006) 68
Physics
Mathematical Physics
19 pages 6 figures
Scientific paper
10.1088/1367-2630/8/5/068
We study the swimming of non-relativistic deformable bodies in (empty) static
curved spaces. We focus on the case where the ambient geometry allows for rigid
body motions. In this case the swimming equations turn out to be geometric. For
a small swimmer, the swimming distance in one stroke is determined by the
Riemann curvature times certain moments of the swimmer.
Avron Joseph E.
Kenneth Oded
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