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 |
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Document Type: | Article |
Parent Title (English): | Journal of Differential Geometry and its Applications |
Year of first publication: | 2024 |
ArXiv Id: | http://arxiv.org/abs/2309.12883 |