The Translation Surfaces on Statistical Manifolds with Normal Distribution

Authors : Serap Sevim, Cengizhan Murathan

Pages : 44-62

Doi:10.36890/iejg.1378844

View : 60 | Download : 102

Publication Date : 2024-04-23

Article Type : Research Paper

Abstract :In this paper, we will investigate translation surfaces on statistical manifolds. Statistical manifolds are mathematical structures that describe the geometric properties of statistical models. We will focus on minimal statistical translation surfaces and then classify statistical translation surfaces of null sectional curvature in three-dimensional hyperbolic statistical manifolds
Keywords : Statistical manifolds, statistical submanifolds, normal distribution, translation surfaces, hyperbolic models