Application of shape operator under infinitesimal bending of surface | Zendy

Milica D. Cvetković | Zendy; Ljubica S. Velimirović | Zendy

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Application of shape operator under infinitesimal bending of surface

Author(s) -

Milica D. Cvetković,

Ljubica S. Velimirović

Publication year - 2019

Publication title -

filomat

Language(s) - English

Resource type - Journals

SCImago Journal Rank - 0.449

H-Index - 34

eISSN - 2406-0933

pISSN - 0354-5180

DOI - 10.2298/fil1904267c

Subject(s) - infinitesimal , mathematics , operator (biology) , surface (topology) , mathematical analysis , point (geometry) , bending , geometry , infinitesimal transformation , structural engineering , biochemistry , chemistry , repressor , transcription factor , engineering , gene

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 v changes from point to point. We considered the variation of shape operator under infinitesimal bending of surface given in an explicit form and its application in considering what happened with the elliptic, hyperbolic, parabolic kind of points under the infinitesimal bending of surface.

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