[KSCI] Korea Science Citation Index Service

http://dx.doi.org/10.4134/JKMS.2012.49.6.1229

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)

Publication Information

Journal of the Korean Mathematical Society / v.49, no.6, 2012 , pp. 1229-1257 More about this Journal

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

generalized Finsler structures; foliations; exterior differential systems; surface of revolution;

Citations & Related Records

Reference

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