Some applications of the non - Positive sectional curvature

The Applications of Non –positive Sectional Curvature plays a great role in the field of Physics, Mathematics and engineering because it paves to the knowledge of radius of curvature, length of curvature, and arc of curvature. The study aims to explain some applications of non- positive sectional curvature. We followed the analytical induction mathematical method. We found the following some results: The sectional curvature indicates to know the behavior of some of the functions and the solution of mathematics equations, and also it reveals the Euler – Lagrange equation which is considered one of the importance application of the non - positive sectional curvature.