Article ID Journal Published Year Pages File Type
4606455 Differential Geometry and its Applications 2010 11 Pages PDF
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.
Related Topics
Physical Sciences and Engineering Mathematics Analysis
Authors
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