Chen, W.W.S. (2015) On Finding Geodesic Equation of Two Parameters Logistic Distribution. Applied Mathematics, 6, 2169-2174. https://doi.org/10.4236/am.2015.612189

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.