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26
result(s) for
"الهندسة التفاضلية"
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On Minimal Submanifolds of a unit Sphere
In this paper, we considered minimal Hyper surfaces in n-dimensional Eeclidean space. Our objective is to study variations described by algebraic or differential equation via the geometrical properties of manifold such us curvature. Our technique is differential geometry methods. We obtained a relationship between the parameterization of theres Hyper surfaces and their mean curvature H and other results, we also showed that a Hyper surface is minimal if and only if the coordinate's function of the parameterization are harmonic.
Journal Article
Some Related Theorems of Gauss Bonnet Theory
This study aims to explaine Some Related Theorems of Gauss Bonnet theory. We used the historical analysis mathematical method. We found that the Gauss Bonnet theorey relates the Gaussian curvature of a surface to the geodesic curvature, this theory contains many applications within and outside of its original field of differential geometry ,and the Gauss Bonnet theorey is one of the most important and one of the deepest result in the differential geometry of surfaces.
Journal Article
