Statistical $\\rho$-commutative algebras

Authors : Zahra BAGHERİ, Esmaeil PEYGHAN

Pages : 340-355

Doi:10.15672/hujms.1105421

View : 22 | Download : 11

Publication Date : 2023-03-31

Article Type : Research Paper

Abstract :In this article, we study Codazzi-couples of an arbitrary connection $\\nabla$ with a nondegenerate 2-form $\\omega$, an isomorphism $L$ on the space of derivation of $\\rho$-commutative algebra $A$, which the important examples of isomorphism $L$ are almost complex and almost para-complex structures, a metric $g$ that $insert ignore into journalissuearticles values(g, \\omega,L);$ form a compatible triple. We study a statistical structure on $\\rho$-commutative algebras by the classical manner on Riemannian manifolds. Then by recalling the notions of almost insert ignore into journalissuearticles values(para-);Kähler $\\rho$-commutative algebras, we generalized the notion of Codazzi-insert ignore into journalissuearticles values(para-);Kähler $\\rho$-commutative algebra as a insert ignore into journalissuearticles values(para-);Kähler insert ignore into journalissuearticles values(or Fedosov); $\\rho$-commutative algebra which is at the same time statistical and moreover define the holomorphic $\\rho$-commutative algebras.
Keywords : statistical structure, Codazzi couple, Kähle structure, Para Kähler structure, connection, holomorphic statistical structure