Journal of the Korean Mathematical Society (대한수학회지)

Korean Mathematical Society (대한수학회)
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MOVING FRAMES ON GENERALIZED FINSLER STRUCTURES

  • Sabau, Sorin V. (Department of Mathematics School of Science Tokai University) ;
  • Shibuya, Kazuhiro (Department of Mathematics Graduate School of Science Hiroshima University) ;
  • Shimada, Hideo (Department of Mathematics School of Science Tokai University)
  • Received : 2011.06.11
  • Published : 2012.11.01
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Abstract

We study the relation between an R-Cartan structure ${\alpha}$ an an (I, J, K)-generalized Finsler structure ${\omega}$ on a 3-manifold ${\Sigma}$ showing the difficulty in finding a general transformation that maps ${\alpha}$ to ${\omega}$. In some particular cases, the mapping can be uniquely determined by geometrical conditions. Moreover, we are led in this way to a negative answer to our conjecture in [12].

Keywords

References

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Cited by

  1. Adapted metrics and Webster curvature in Finslerian 2-dimensional geometry vol.37, pp.3, 2016, https://doi.org/10.1007/s11401-016-0940-1