Families of spherical surfaces and harmonic maps
Sign Up to like & getrecommendations! Published in 2017 at "Geometriae Dedicata"
DOI: 10.1007/s10711-018-0389-3
Abstract: We study singularities of constant positive Gaussian curvature surfaces and determine the way they bifurcate in generic 1-parameter families of such surfaces. We construct the bifurcations explicitly using loop group methods. Constant Gaussian curvature surfaces… read more here.
Keywords: harmonic maps; surfaces harmonic; families spherical; spherical surfaces ... See more keywords
Relationships among charges, fields, and potential on spherical surfaces boundary value problems
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DOI: 10.1016/j.rinp.2018.09.015
Abstract: Abstract This paper suggests a new point of view for the Poisson equation and its solution for the potential and field on the d dimensional sphere, S d , on which point charges are distributed.… read more here.
Keywords: fields potential; charges fields; relationships among; potential spherical ... See more keywords
Hyperuniformity on spherical surfaces.
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DOI: 10.1103/physreve.100.022107
Abstract: We study and characterize local density fluctuations of ordered and disordered hyperuniform point distributions on spherical surfaces. In spite of the extensive literature on disordered hyperuniform systems in Euclidean geometries, to date few works have… read more here.
Keywords: hyperuniformity spherical; point; spherical surfaces; hyperuniformity ... See more keywords
Conformability of flexible sheets on spherical surfaces
Sign Up to like & getrecommendations! Published in 2023 at "Science Advances"
DOI: 10.1126/sciadv.adf2709
Abstract: Three-dimensional surface-conformable electronics is a burgeoning technology with potential applications in curved displays, bioelectronics, and biomimetics. Flexible electronics are notoriously difficult to fully conform to nondevelopable surfaces such as spheres. Although stretchable electronics can well… read more here.
Keywords: flexible sheets; sheets spherical; conformability flexible; spherical surfaces ... See more keywords