Jet-Ricci Geometry of Time-Dependent Human Biomechanics

Details Jet-Ricci Geometry of Time-Dependent Human Biomechanics Jet-Ricci Geometry of Time-Dependent Human Biomechanics

2009-07-07

arxiv.org/abs/0907.1204v1

Physics

Biological Physics

13 pages 4 figures

Scientific paper

We propose the time-dependent generalization of an `ordinary' autonomous human biomechanics, in which total mechanical + biochemical energy is not conserved. We introduce a general framework for time-dependent biomechanics in terms of jet manifolds derived from the extended musculo-skeletal configuration manifold. The corresponding Riemannian geometrical evolution follows the Ricci flow diffusion. In particular, we show that the exponential-like decay of total biomechanical energy (due to exhaustion of biochemical resources) is closely related to the Ricci flow on the biomechanical configuration manifold. Keywords: Time-dependent biomechanics, extended configuration manifold, configuration bundle, jet manifolds, Ricci flow diffusion

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