On Geodesics in the Spaces of Constrained Curves
Differential Geometry
2023-09-25 v1 Applications
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.
Keywords
Cite
@article{arxiv.2309.12883,
title = {On Geodesics in the Spaces of Constrained Curves},
author = {Esfandiar Nava-Yazdani},
journal= {arXiv preprint arXiv:2309.12883},
year = {2023}
}