Open AccessProlongations of Golden Structure to Bundles of Infinitely Near Points
Author(s) -
Georges Florian Wankap o,
A. Ntyam,
Emmanuel Hinamari Mang-Massou
Publication year - 2022
Publication title -
journal of the indonesian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2460-0245
pISSN - 2086-8952
DOI - 10.22342/jims.28.1.1058.84-95
Subject(s) - mathematics , parallelism (grammar) , covariant transformation , golden ratio , manifold (fluid mechanics) , pure mathematics , integrable system , functor , bundle , vector bundle , geometry , parallel computing , mechanical engineering , computer science , engineering , materials science , composite material
For a Golden-structure ζ on a smooth manifold M and any covariant functor which assigns to M its bundle MA of infinitely near points of A-king, we define the Golden structure ζ^A on M^A and prove that ζ is integrable if and only if so is ζ^A. We also investigate the integrability, parallelism, half parallelism and anti-half parallelism of the Golden-structure ζ^A and their associated distributions on M^A.