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On Geodesics in the Spaces of Constrained Curves

revision under review
  • In this work, we study the geodesics of the space of certain geometrically and physically motivated subspaces of the space of immersed curves endowed with a first order Sobolev metric. This includes elastic curves and also an extension of some results on planar concentric circles to surfaces. The work focuses on intrinsic and constructive approaches.
Author:Esfandiar NavayazdaniORCiD
Document Type:Article
Year of first publication:2024
ArXiv Id:http://arxiv.org/abs/2309.12883
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