Prolongations of Golden Structure to Bundles of Infinitely Near Points | Zendy

G. F. Wankap o | Zendy; A. Ntyam | Zendy; Emmanuel Hinamari Mang-Massou | Zendy

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Prolongations of Golden Structure to Bundles of Infinitely Near Points

Author(s) -

G. F. 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.

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