The hanging chain problem in the sphere and in the hyperbolic plane
R López - Journal of Nonlinear Science, 2024 - Springer
In this paper, the notion of the catenary curve in the sphere and in the hyperbolic plane is
introduced. In both spaces, a catenary is defined as the shape of a hanging chain when its …
introduced. In both spaces, a catenary is defined as the shape of a hanging chain when its …
Catenaries and minimal surfaces of revolution in hyperbolic space
LCB Da Silva, R López - Proceedings of the Royal Society of …, 2024 - cambridge.org
We introduce the concept of extrinsic catenary in the hyperbolic plane. Working in the
hyperboloid model, we define an extrinsic catenary as the shape of a curve hanging under …
hyperboloid model, we define an extrinsic catenary as the shape of a curve hanging under …
The hanging chain problem with respect to a circle
R López - arXiv preprint arXiv:2405.12947, 2024 - arxiv.org
Let $\s^ 1$ be a circle in Euclidean plane. We consider the problem of finding the shape of a
planar curve which is an extremal of the potential energy that measures the distance to $\s …
planar curve which is an extremal of the potential energy that measures the distance to $\s …
The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane
R López Camino - 2024 - digibug.ugr.es
In this paper, the notion of the catenary curve in the sphere and in the hyperbolic plane is
introduced. In both spaces, a catenary is defined as the shape of a hanging chain when its …
introduced. In both spaces, a catenary is defined as the shape of a hanging chain when its …