Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space

The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a spacelike curve. However, if the spacelike curve is...

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Autores principales:	Pengcheng Li, Donghe Pei
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	nullcone fronts spacelike framed curves Minkowski 3-space singularities Mathematics QA1-939
Acceso en línea:	https://doaj.org/article/d15f137fed9541949e61e4b41ddbd4c8
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id	oai:doaj.org-article:d15f137fed9541949e61e4b41ddbd4c8
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spelling	oai:doaj.org-article:d15f137fed9541949e61e4b41ddbd4c82021-11-25T18:17:21ZNullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space10.3390/math92229392227-7390https://doaj.org/article/d15f137fed9541949e61e4b41ddbd4c82021-11-01T00:00:00Zhttps://www.mdpi.com/2227-7390/9/22/2939https://doaj.org/toc/2227-7390The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a spacelike curve. However, if the spacelike curve is singular, then we cannot use the usual tools and methods to study related issues. To solve these problems, we show the definition of spacelike framed curves in Minkowski 3-space, whose original curves may contain singularities. Then, the singularities of the nullcone fronts are characterized by using framed curvatures of spacelike framed curves. Finally, we exhibit some examples to illustrate our results.Pengcheng LiDonghe PeiMDPI AGarticlenullcone frontsspacelike framed curvesMinkowski 3-spacesingularitiesMathematicsQA1-939ENMathematics, Vol 9, Iss 2939, p 2939 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	nullcone fronts spacelike framed curves Minkowski 3-space singularities Mathematics QA1-939
spellingShingle	nullcone fronts spacelike framed curves Minkowski 3-space singularities Mathematics QA1-939 Pengcheng Li Donghe Pei Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
description	The investigation of objects in Minkowski space is of great significance, especially for those objects with mathematical and physical backgrounds. In this paper, we study nullcone fronts, which are formed by the light rays emitted from points on a spacelike curve. However, if the spacelike curve is singular, then we cannot use the usual tools and methods to study related issues. To solve these problems, we show the definition of spacelike framed curves in Minkowski 3-space, whose original curves may contain singularities. Then, the singularities of the nullcone fronts are characterized by using framed curvatures of spacelike framed curves. Finally, we exhibit some examples to illustrate our results.
format	article
author	Pengcheng Li Donghe Pei
author_facet	Pengcheng Li Donghe Pei
author_sort	Pengcheng Li
title	Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
title_short	Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
title_full	Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
title_fullStr	Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
title_full_unstemmed	Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space
title_sort	nullcone fronts of spacelike framed curves in minkowski 3-space
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/d15f137fed9541949e61e4b41ddbd4c8
work_keys_str_mv	AT pengchengli nullconefrontsofspacelikeframedcurvesinminkowski3space AT donghepei nullconefrontsofspacelikeframedcurvesinminkowski3space
_version_	1718411406993260544

Nullcone Fronts of Spacelike Framed Curves in Minkowski 3-Space

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