Browsing Mathematics by Author "Cvetković, Milica"
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Cvetković, Milica (Niš , 2013)[more][less]
Abstract: This work provides the surface shape analysis in R3 using the shape operator, i.e. using the curvatures as well as curvature's functionals such as the Willmore energy. Then, there were considered changes of surfaces' geometric characteristics under infinitesimal deformations, and specialy, curvature based functionals variations under infinitesimal bending of surface. Special kinds of ruled surfaces were analysed from geometrical and constructional point of view, and pointed to their wide use. At last, there is a generalization by considering the Finsler and the generalized Finsler spaces. URI: http://hdl.handle.net/123456789/3813 Files in this item: 1
2014_01_22_cm.pdf ( 1.476Mb )
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