TITLE:
On Finding Geodesic Equation of Two Parameters Logistic Distribution
AUTHORS:
William W. S. Chen
KEYWORDS:
Darboux Theory, Differential Geometry, Geodesic Equation, Isotropic Curves, Logistic Distribution, Minimal Curves, Partial Differential Equation
JOURNAL NAME:
Applied Mathematics,
Vol.6 No.12,
November
30,
2015
ABSTRACT: In this paper, we used two different algorithms to solve some partial differential equations, where these equations originated from the well-known two parameters of logistic distributions. The first method was the classical one that involved solving a triply of partial differential equations. The second approach was the well-known Darboux Theory. We found that the geodesic equations are a pair of isotropic curves or minimal curves. As expected, the two methods reached the same result.