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has been cited by the following article:
TITLE: On Finding Geodesic Equation of Normal Distribution and Gaussian Curvature
AUTHORS: William W. S. Chen
KEYWORDS: Darboux Theory, Differential Geometry, Geodesic Equation, Partial Differential Equation, Normal Distribution
JOURNAL NAME: Applied Mathematics, Vol.8 No.9, September 27, 2017
ABSTRACT: 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.