Swimming in curved space or the Baron and the cat

نویسنده

  • J E Avron
چکیده

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. New Journal of Physics 8 (2006) 68 PII: S1367-2630(06)19420-3 1367-2630/06/010068+15$30.00 © IOP Publishing Ltd and Deutsche Physikalische Gesellschaft 2 Institute of Physics DEUTSCHE PHYSIKALISCHE GESELLSCHAFT

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تاریخ انتشار 2006