J E Avron and O Kenneth 2006 New J. Phys. 8 68 doi:10.1088/1367-2630/8/5/068
Swimming in curved space or the Baron and the cat
J E Avron1 and O Kenneth1
Show affiliationsWe 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.
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Issue 5 (May 2006)
Received 22 February 2006
Published 15 May 2006
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Swimming in curved space or the Baron and the cat
J E Avron and O Kenneth 2006 New J. Phys. 8 68
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