2011/09/14 by Constantin M. Arcuş, Arcuş, Constantin M.
Mathematics · Medicine · Physics and Astronomy · #53C05 #53C07 #53C60 #58B20 #Advanced Differential Geometry Research #Differential Geometry (math.DG) #FOS: Mathematics #Geometric Analysis and Curvature Flows #Homotopy and Cohomology in Algebraic Topology #Ophthalmology and Eye Disorders #math.DG #msc:53C05 #msc:53C07 #msc:53C60 #msc:58B20
paper · pdf · doi:10.48550/arxiv.1109.3152
29 pages. arXiv admin note: text overlap with arXiv:1007.1541
arxiv created 2011/09/14 · openalex publication_date 2011/09/14 · arxiv updated 2011/09/15 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
Two new classes of metrizable vector bundles have been presented in the papers [1] and [4]. The Lie algebroid generalized tangent bundle of a dual vector bundle is presented. This Lie algebroid is a new example of metrizable vector bundle. A new class of Hamilton spaces, called by use, generalized Hamilton (ρ,η)-space, Hamilton (ρ,η)-space and Cartan (ρ,η)-space are presented. The results obtained in the particular case of Lie algebroids emphasize the importance and the utility of our new method by work. In particular, if all morphisms are identities morphisms, then the classical results are obtained.