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Journals / International Electronic Journal of Geometry / 2026 / Volume: 17 Issue: 1

The Translation Surfaces on Statistical Manifolds with Normal Distribution

Serap Sevim(Bursa Uludağ Üniversitesi)0009-0000-5545-7946
Cengizhan Murathan(Bursa Uludağ Üniversitesi)0000-0002-2273-3243
Pages
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Publication Date
2024-04-23
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

We will focus on minimal statistical translation surfaces and then classify statistical translation surfaces of null sectional curvature in three-dimensional hyperbolic statistical manifolds

📌 3 Key Takeaways

🎯
Objective & Hypothesis:In this paper, we will investigate translation surfaces on statistical manifolds.
📊
Key Findings & Data:Statistical manifolds are mathematical structures that describe the geometric properties of statistical models.
💡
Conclusion & Impact:We will focus on minimal statistical translation surfaces and then classify statistical translation surfaces of null sectional curvature in three-dimensional hyperbolic statistical manifolds
🔬Design:Modeling & Simulation
📍Scope:Comprehensive Sample
⚙️Variables:Statistical manifolds · statistical submanifolds · normal distribution

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

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Cite This Article

Sevim, S., Murathan, C. (2024). The Translation Surfaces on Statistical Manifolds with Normal Distribution. International Electronic Journal of Geometry, Volume: 17 Issue: 1. https://doi.org/10.36890/iejg.1378844

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