On Total Shear Curvature of Surfaces in E^{n+2}

Year 2018, Volume: 22 Issue: 6, 1765 - 1769, 01.12.2018

Kadri Arslan , Betül Bulca

https://doi.org/10.16984/saufenbilder.410044

Cited By: 1

Abstract

In the present study we consider surfaces in Euclidean (n+2)-space Eⁿ⁺². Firstly, we introduce some basic concepts of second fundamental form and curvatures of the surfaces in Eⁿ⁺². Further, we obtained some basic properties of surfaces in Eⁿ⁺² and some results related with their total shear curvatures. Finally, we give an example of generalized spherical surfaces in Euclidean 4-space E⁴ with vanishing shear curvature.

Keywords

Shear tensor, Gaussian curvature, mean curvature

References

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