Karpenkov, Oleg ORCID: 0000-0002-3358-6998
(2015)
Finite and infinitesimal flexibility of semidiscrete surfaces.
Arnold Mathematical Journal, 1 (04).
pp. 403-444.
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Abstract
In this paper we study infinitesimal and finite flexibility for generic semidiscrete surfaces. We prove that generic 2-ribbon semidiscrete surfaces have one degree of infinitesimal and finite flexibility. In particular we write down a system of differential equations describing isometric deformations in the case of existence. Further we find a necessary condition of 3-ribbon infinitesimal flexibility. For an arbitrary n≥3 we prove that every generic n-ribbon surface has at most one degree of finite/infinitesimal flexibility. Finally, we discuss the relation between general semidiscrete surface flexibility and 3-ribbon subsurface flexibility. We conclude this paper with one surprising property of isometric deformations of developable semidiscrete surfaces.
Item Type: | Article |
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Uncontrolled Keywords: | Semidiscrete surfaces, Flexibility, Infinitesimal flexibility |
Subjects: | ?? QA ?? |
Depositing User: | Symplectic Admin |
Date Deposited: | 18 Dec 2015 10:47 |
Last Modified: | 19 Jan 2023 07:38 |
DOI: | 10.1007/s40598-015-0025-3 |
Related URLs: | |
URI: | https://livrepository.liverpool.ac.uk/id/eprint/2043380 |
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