Constant Mean Curvature Surfaces Along a Spacelike Curve

Autor:	Ergin BAYRAM
Rok vydání:	2022
Předmět:	Spacelike curve Constant mean curvature surfaces Minkowski 3-space Matematik General Medicine Mathematics
Zdroj:	Volume: 43, Issue: 3 454-459 Cumhuriyet Science Journal
ISSN:	2587-2680 2587-246X
DOI:	10.17776/csj.1063743
Popis:	We construct constant mean curvature surfaces along a given spacelike curve in 3 dimensional Minkowski space. We parametrically present these surfaces using the famous Frenet frame of the curve in question. We give the sufficient conditions for the so called marching scale functions, which are the coefficients of the Frenet frame fields. We show that it is possible to obtain such surfaces for any given spacelike curve. Finally, the validity of the presented method is supported with illustrative examples.
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_dedup___::9ae9de2d04530c6042128ac0b2c6cff1 https://doi.org/10.17776/csj.1063743 Zobrazit plný text záznamu