A New Approach to the Chromatic Polynomial Structure on Finsler Manifolds

Document Type : Original Article

Authors
Akbar Dehghan Nezhad 1
Sareh Beizavi 2
1 School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846 -13114, Iran
2 School of Mathematics, Iran University of Science and Technology, Narmak, Tehran, 16846 -13114, Iran.
10.22034/maco.2.2.1
Abstract
In this paper, the chromatic polynomial structure on Riemannian manifolds and the almost golden structure on the tangent bundle of a Finsler manifold have been studied. A class of g-natural metrics on the tangent bundle of a Finsler manifold have been considered and some conditions under which the golden structure is compatible with the above-mentioned metric are proposed. The Levi-Civita connection associated with the mentioned metric is calculated and the results of it are presented. Finally, the integrability of the golden structure and its compatibility with the covariant derivative is studied.

Keywords

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Mathematical Analysis and Convex Optimization
Volume 2, Issue 2
Autumn 2021
Pages 1-16