Affiliation:
1. Massachusetts Institute of Technology, Cambridge, MA 02139, USA.
Abstract
Cyclic changes in the shape of a quasi-rigid body on a curved manifold can lead to net translation and/or rotation of the body. The amount of translation depends on the intrinsic curvature of the manifold. Presuming spacetime is a curved manifold as portrayed by general relativity, translation in space can be accomplished simply by cyclic changes in the shape of a body, without any external forces.
Publisher
American Association for the Advancement of Science (AAAS)
Reference18 articles.
1. Geometry of self-propulsion at low Reynolds number
2. Geometric phase is also called anholonomy. Some restrict the term geometric phase to quantum phases and use the term anholonomy for classical processes.
3. A. Shapere F. Wilczek Eds. in Geometric Phases in Physics (World Scientific London 1989) pp. 449–460.
4. Guichardet A., Ann. Inst. Henri Poincaré 40, 329 (1984).
5. R. Montgomery in The Geometry of Hamiltonian Systems T. Ratiu Ed. (Springer New York 1991).
Cited by
29 articles.
订阅此论文施引文献
订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献