Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4628614 | Applied Mathematics and Computation | 2013 | 7 Pages |
Abstract
In case of bendable surfaces it is useful to discuss the variation of magnitudes such as the shape operator. The shape operator is a good way to measure how a regular surface S bends in R3 by valuation how the surface normal ν changes from point to point. We considered the variation of shape operator under infinitesimal bending of surface given in an explicit form. We also gave two examples of the variation of shape operator of Gaudi surface and hyperbolic paraboloid.
Related Topics
Physical Sciences and Engineering
Mathematics
Applied Mathematics
Authors
Ljubica S. VelimiroviÄ, Milica D. CvetkoviÄ, Marija S. NajdanoviÄ, Nikola M. VelimiroviÄ,