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.
Primary Language | English |
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Subjects | Mathematical Sciences |
Journal Section | Research Articles |
Authors | |
Publication Date | December 1, 2018 |
Submission Date | March 27, 2018 |
Acceptance Date | May 29, 2018 |
Published in Issue | Year 2018 |
This work is licensed under a Creative Commons Attribution-NonCommercial 4.0 International License.