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Jet Riemann-Lagrange Geometry and Some Applications in Theoretical Biology

By Ileana Rodica Nicola and Mircea Neagu

Abstract

The aim of this paper is to construct a natural Riemann-Lagrange differential geometry on 1-jet spaces, in the sense of nonlinear connections, generalized Cartan connections, d-torsions, d-curvatures, jet electromagnetic fields and jet electromagnetic Yang-Mills energies, starting from some given nonlinear evolution ODEs systems modelling biologic phenomena like the cancer cell population model or the infection by human immunodeficiency virus-type 1 (HIV-1) model.Comment: 14 page

Topics: Mathematics - Differential Geometry, 53C43, 53C07, 83C22
Year: 2008
OAI identifier: oai:arXiv.org:0802.2343

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