FINSLER

FINSLER: a computer algebra package for Finsler geometries: Symbolic Finsler geometry. The paper presents the Finsler package, a computer algebra program based on Maple, which proposes itself as a tool for pure and applied mathematicians alike, as well as for mathematical modelling based on differential geometry and/or ordinary differential equations in diverse fields of science. It derives the expressions of several geometric objects defined for Finsler spaces from a given metric, and may also be used in the absence of one, as in KCC-theory. Riemannian and Affine geometries are also covered, as special cases. ...


References in zbMATH (referenced in 12 articles , 1 standard article )

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  1. Rutz, S. F.; Carielo, M. S.; Antonelli, P. L.: Mathematical model of forests: understories and mycorrhizal networks (2019)
  2. Antonelli, Peter L.; Rutz, Solange F.; Sammarco, Paul W.; Strychar, Kevin B.: Evolution of symbiosis in hermatypic corals: A model of the past, present, and future (2016)
  3. Antonelli, Peter L.; Leandro, Eduardo S. G.; Rutz, Solange F.: Gradient-driven dynamics on Finsler manifolds: the Jacobi action-metric theorem and an application in ecology (2014)
  4. Antonelli, Peter L.; Rutz, Solange F.; Sammarco, Paul W.; Strychar, Kevin B.: A coral bleaching model (2014)
  5. Antonelli, Peter L.; Rutz, Solange F.; Hirakawa, Carlos E.: The mathematical theory of endosymbiosis. I (2011)
  6. Antonelli, P. L.; Rutz, S. F.: Eco-strain in model forests (2009)
  7. Antonelli, P. L.; Rutz, S. F.: Finslerian Volterra-Hamilton systems in Clementsian forest succession (2005)
  8. Antonelli, Peter L.; Bóna, Andrej; Slawiński, Michael A.: Seismic rays as Finsler geodesics. (2003)
  9. Antonelli, P. L.; Bevilacqua, L.; Rutz, S. F.: Theories and models in symbiogenesis. (2003)
  10. Rutz, S. F.; Portugal, R.: Symbolic Finsler geometry (2003)
  11. Antonelli, P.; Maculan, N.; Portugal, R.; Rutz, S.; Sabau, S.: Transient-states analysis of a 2-species dynamical ecological model via KCC-theory (2001)
  12. Rutz, Solange F.; Portugal, Renato: FINSLER: a computer algebra package for Finsler geometries. (2001)