English

Jet Riemann-Lagrange Geometry and Some Applications in Theoretical Biology

Differential Geometry 2008-12-29 v1

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.

Keywords

Cite

@article{arxiv.0802.2343,
  title  = {Jet Riemann-Lagrange Geometry and Some Applications in Theoretical Biology},
  author = {Ileana Rodica Nicola and Mircea Neagu},
  journal= {arXiv preprint arXiv:0802.2343},
  year   = {2008}
}

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14 pages