Swimming in curved space or The Baron and the cat
Mathematical Physics
2009-11-11 v1 General Relativity and Quantum Cosmology
math.MP
Abstract
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.
Cite
@article{arxiv.math-ph/0602053,
title = {Swimming in curved space or The Baron and the cat},
author = {J. E. Avron and O. Kenneth},
journal= {arXiv preprint arXiv:math-ph/0602053},
year = {2009}
}
Comments
19 pages 6 figures