Necessary flexibility conditions of semidiscrete surfaces

Details Necessary flexibility conditions of semidiscrete surfaces Necessary flexibility conditions of semidiscrete surfaces

2010-04-14

arxiv.org/abs/1004.2420v2

Mathematics

Differential Geometry

Scientific paper

In this paper we study necessary conditions of flexibility for semidiscrete surfaces. For 2-ribbon semidiscrete surfaces we prove their one-parametric finite flexibility. In particular we write down a system of differential equations describing flexions in the case of existence. Further we find infinitesimal criterions of 3-ribbon flexibility. Finally, we discuss the relation between general semidiscrete surface flexibility and 3-ribbon flexibility.

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