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On Finding Geodesic Equation of Normal Distribution and Gaussian Curvature

On Finding Geodesic Equation of Normal Distribution and Gaussian Curvature
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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. 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.
出处 《Applied Mathematics》 2017年第9期1336-1342,共7页 应用数学(英文)
关键词 DARBOUX Theory DIFFERENTIAL Geometry GEODESIC EQUATION PARTIAL DIFFERENTIAL EQUATION NORMAL Distribution Darboux Theory Differential Geometry Geodesic Equation Partial Differential Equation Normal Distribution
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