منابع مشابه
Rolling ribbons.
We present the results of a combined experimental and theoretical investigation of rolling elastic ribbons. Particular attention is given to characterizing the steady shapes that arise in static and dynamic rolling configurations. In both cases, above a critical value of the forcing (either gravitational or centrifugal), the ribbon assumes a two-lobed, peanut shape similar to that assumed by ro...
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We prove that ribbons, i.e. double structures associated with a line bundle E over its reduced support, a smooth irreducible projective curve of arbitrary genus, are smoothable if their arithmetic genus is greater than or equal to 3 and the support curve possesses a smooth irreducible double cover with trace zero module E . The method we use is based on the infinitesimal techniques that we deve...
متن کاملStatistical mechanics of developable ribbons.
We investigate the statistical mechanics of long developable ribbons of finite width and very small thickness. The constraint of isometric deformations in these ribbonlike structures that follows from the geometric separation of scales introduces a coupling between bending and torsional degrees of freedom. Using analytical techniques and Monte Carlo simulations, we find that the tangent-tangent...
متن کاملRibbons around Mexican Hats
We analyze quasi-topological solitons winding around a mexican-hat potential in two space-time dimensions. They are prototypes for a large number of physical excitations, including Skyrmions of the Higgs sector of the standard electroweak model, magnetic bubbles in thin ferromagnetic films, and strings in certain non-trivial backgrounds. We present explicit solutions, derive the conditions for ...
متن کاملLinear Series on Ribbons
A ribbon is a double structure on P. The geometry of a ribbon is closely related to that of a smooth curve. In this note we consider linear series on ribbons. Our main result is an explicit determinantal description for the locus W r 2n of degree 2n line bundles with at least (r +1)-dimensional sections on a ribbon. We also discuss some results of Clifford and Brill-Noether type.
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ژورنال
عنوان ژورنال: Symmetry
سال: 2020
ISSN: 2073-8994
DOI: 10.3390/sym12122060