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The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane
dc.contributor.advisor | López, Rafael | |
dc.contributor.author | López Camino, Rafael | |
dc.date.accessioned | 2024-06-19T11:53:16Z | |
dc.date.available | 2024-06-19T11:53:16Z | |
dc.date.issued | 2024-06-19 | |
dc.identifier.citation | López, R. The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane. J Nonlinear Sci 34, 75 (2024). https://doi.org/10.1007/s00332-024-10056-0 | es_ES |
dc.identifier.uri | https://hdl.handle.net/10481/92712 | |
dc.description | Funding for open access publishing: Universidad de Granada/CBUA. This work has been partially supported by the Project PID2020-117868GB-I00 and MCIN/AEI/10.13039/501100011033. | es_ES |
dc.description.abstract | 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 potential energy is determined by the distance to a given geodesic of the space. Several characterizations of the catenary are established in terms of the curvature of the curve and of the angle that its unit normal makes with a vector field of the ambient space. Furthermore, in the hyperbolic plane, we extend the concept of catenary substituting the reference geodesic by a horocycle or the hyperbolic distance by the horocycle distance. | es_ES |
dc.description.sponsorship | Universidad de Granada | es_ES |
dc.description.sponsorship | MCIN/AEI/10.13039/501100011033 PID2020-117868GB-I00 | es_ES |
dc.language.iso | eng | es_ES |
dc.publisher | Springer Nature | es_ES |
dc.rights | Creative Commons Attribution-NonCommercial-NoDerivs 3.0 License | es_ES |
dc.rights.uri | http://creativecommons.org/licenses/by-nc-nd/3.0/ | es_ES |
dc.subject | Hanging chain problem | es_ES |
dc.subject | Sphere | es_ES |
dc.subject | Hyperbolic plane | es_ES |
dc.subject | Catenary | es_ES |
dc.subject | Rotational surface | es_ES |
dc.subject | Prescribed curvature | es_ES |
dc.title | The Hanging Chain Problem in the Sphere and in the Hyperbolic Plane | es_ES |
dc.type | journal article | es_ES |
dc.rights.accessRights | open access | es_ES |
dc.type.hasVersion | VoR | es_ES |