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Swimming in Curved Surfaces and Gauss Curvature
2018
Universitas Scientiarum
The Cartesian-Newtonian paradigm of mechanics establishes that, within an inertial frame, a body either remains at rest or moves uniformly on a line, unless a force acts externally upon it. This crucial assertion breaks down when the classical concepts of space, time and measurement reveal to be inadequate. If, for example, the space is non-flat, an effective translation might occur from rest in the absence of external applied force. In this paper we examine mathematically the motion of a small
doi:10.11144/javeriana.sc23-2.sics
fatcat:5ckayswg3fe2nmgsioey456tsu