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arXiv · 2309.12883

On Geodesics in the Spaces of Constrained Curves

Esfandiar Nava-Yazdani
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Abstract

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.

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Esfandiar Nava-Yazdani. 2023-09-22. On Geodesics in the Spaces of Constrained Curves. https://arxiv.org/abs/2309.12883

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