Swimming in curved space or the Baron and the cat

@inproceedings{Avron2006SwimmingIC,
  title={Swimming in curved space or the Baron and the cat},
  author={J. E. Avron and Oded Kenneth},
  year={2006}
}
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… CONTINUE READING