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

Kadri Arslan | Zendy; Betül Bulca | Zendy

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

Author(s) -

Kadri Arslan,

Betül Bulca

Publication year - 2018

Publication title -

sakarya university journal of science

Language(s) - English

Resource type - Journals

eISSN - 2147-835X

pISSN - 1301-4048

DOI - 10.16984/saufenbilder.410044

Subject(s) - curvature , euclidean geometry , euclidean space , mathematics , shear (geology) , geometry , surface (topology) , mean curvature , pure mathematics , mathematical analysis , space (punctuation) , gaussian curvature , space form , principal curvature , materials science , computer science , submanifold , operating system , composite material

In this study we consider the surfaces in 2 n E . First, we give preleminaries of second fundamental form and curvature properties of the surfaces. Further, we obtained some results related with the total shear curvature of the surfaces. Finally, we give an example of a surface in Euclidean 4-space 4 E with vanishing shear curvature.

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