The applications of the differential geometry of sectional curvature plays a great role in the field of physics, mathematics and engineering because it paves to knowledge of curves, surfaces, curvature, radius of curvature and sectional curvature . The study aims to explain some applications of sectional curvature. We followed the analytical induction mathematical method. We found the following some result: The sectional curvature indicate to know the behavior of some the functions and also we found that the sectional curvature is the Gaussian curvature.
