Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4606455 | Differential Geometry and its Applications | 2010 | 11 Pages |
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
Jorge L. López-López,