The metrizability of the generalized tangent bundle of a vector bundle

Details The metrizability of the generalized tangent bundle of a vector bundle The metrizability of the generalized tangent bundle of a vector bundle

2011-09-06

arxiv.org/abs/1109.1242v2

Mathematics

Differential Geometry

25 pages. significant overlap with arXiv:1007.1541

Scientific paper

A class of metrizable vector bundles have been presented in the paper [5]. Using a generalized Lie algebroid we obtain the Lie algebroid generalized tangent bundle. This Lie algebroid is a new example of metrizable vector bundle. A new class of Lagrange spaces, called by use, generalized Lagrange (\rho; \eta)-space, Lagrange (\rho; \eta)- space and Finsler (\rho; \eta)-space are presented. In the particular case of Lie algebroids, new and important results are presented. In particular, if all morphisms are identities morphisms, then the classical results are obtained.

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