Keywords:-

Keywords: Curves, Surfaces, Sectional Curvature.

Article Content:-

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.

References:-

References

Andrew Pressley, Elementary Differential Geometry, Second Edition, Springer Under graduate Mathematics Series, London, 2010.

Jean Gallier , Noteon Differentia Geometry and Lie Groups, University of Penn-Sylvania Philadelphia, PA19104, USA, 2011.

Joel W. Robin , Dietmar A. Salamon , Introduction to Differential Geometry ,Zurich, 2021.

K. D. Kinyua, An Introduction to Differential Manifolds, Mathematics Letters, Vol.2, No.5, 2016.

Kande Dickson Kinyua , Kuria Joseph Gikonyo, Differentia Geometry An Introd- Uction to The Theory of Curves , Vol.2, No.2, Kenya, 2017.

Kristopher Tapp, Differential Geometry of Cures and Surfaces, Springer International Publishing, Switzerland, 2016.

Manfred P. Do Carmo , Differential Geometry of Curves and Surfaces, Second Edition ,Dover Publcations INC. New York, 2016.

Marco Abate, FrancescaTovena, Curves and Surfaces, Springer Verlag Italia, 2012.

Martin Raussen , Elementary Differential Geometry: Curves and Surfaces, Alborg , Denmark, 2008.

Masaaki Umehara, Kotaro Yamada, Differential Geometry of Curves and Surfaces, World Scientific, Tokyo, 2017.

Prter Petersen, Riemannian Geometry, Third Edition, Springer International Publishing, New York, 2016.

T. Shifrin , Differential Geometry : A First Course in Curves and Surfaces, Preliminary Version, University of Georgia ,2016.

Wolfgang Kuhnel, Differential Geometry of Curves ,Surfaces and Manifold, Third Edition , America Mathematical Society (AMS), 2015.

Downloads

Citation Tools

How to Cite
Gadir Abdel Rahman, A. R. A. R. A., Ishag Gary, A. H., & Ageeb, A. H. E. (2023). Some Applications of Sectional Curvature in Differential Geometry. International Journal Of Mathematics And Computer Research, 11(2), 3236-3242. https://doi.org/10.47191/ijmcr/v11i2.02