On Total Shear Curvature of Surfaces in En+2

In this study we consider the surfaces in En2 . 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 E4 with vanishing shear curvature.

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