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- W2093148532 abstract "This paper is mainly concerned with the space of Euclidean polygons in the plane and the space of curves in the plane. We show that the area function determines a pseudo-Hermitian structure on the space of orientation-preserving similarity classes of Euclidean plane polygons. The area as a pseudo-Hermitian structure on the space of orientation-preserving similarity classes of plane closed curves up to reparametrization is also explored. Explicit geodesics of such spaces are calculated." @default.
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- W2093148532 date "2010-10-01" @default.
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- W2093148532 title "The area as a natural pseudo-Hermitian structure on the spaces of plane polygons and curves" @default.
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- W2093148532 doi "https://doi.org/10.1016/j.difgeo.2010.05.004" @default.
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