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2023•INTERNATIONAL JOURNAL OF MATHEMATICS AND COMPUTER RESEARCHOpen access

SOME APPLICATIONS OF SECTIONAL CURVATURE IN DIFFERENTIAL GEOMETRY

Abdel Radi Abdel Rahman Abdel Gadir Abdel Rahman, Adam Haroun Ishag Gary, Anoud Hassan Elzain Ageeb

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Abstract

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.

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What this paper is about

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.

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Available abstract

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.

Key concepts: Sectional curvature, Curvature, Gaussian curvature, Radius of curvature, Differential geometry, Geometry, Center of curvature, Torsion of a curve

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