On Finding Geodesic Equation of Normal Distribution and Gaussian Curvature

• 作者: William W. S. Chen
• 来源期刊: 应用数学(英文)
• 学科: 数学
• 关键词: DARBOUX Theory DIFFERENTIAL GEOMETRY GEODESIC EQUATION PARTIAL DIFFERENTIAL EQUATION Normal Distribution
• 年，卷（期）: 2017,（9）
• 页码范围: 1336-1342
• 页数: 7页
• 分类号: O1

摘要

In this paper, we apply two different algorithms to find the geodesic equation of the normal distribution. The first algorithm consists of solving a triply partial differential equation where these equations originated from the normal distribution. While the second algorithm applies the well-known Darboux Theory. These two algorithms draw the same geodesic equation. Finally, we applied Baltzer R.’s finding to compute the Gaussian Curvature.