Curvature Based Functions Variations
نویسندگان
چکیده
One of the methods of building the fundamentals of Differential Geometry is the shape operator approach and everything you could want to know about a surface’s curvature is locked up in the shape operator. In this work we consider the variation of the shape operator and the normal, the mean and the principals curvatures and, at last, the Willmore energy, under infinitesimal bending of surface given in an explicit form.
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