Prolongations of Golden Structure to Bundles of Infinitely Near Points

Georges Florian Wankap Nono (UNIVERSITY OF NGAOUDERE)
Achille Ntyam (University of Yaound\'{e} I)
Emmanuel Hinamari Mang-Massou (University of Ngaoundere)

Journal of the Indonesian Mathematical Society
VOLUME 28 NUMBER 1 (MARCH 2022)

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.