Zobrazeno 1 - 10
of 363
pro vyhledávání: '"Minkowski plane"'
Publikováno v:
AIMS Mathematics, Vol 8, Iss 1, Pp 2386-2406 (2023)
In this work, we investigate the differential geometric characteristics of pedal and primitive curves in a Minkowski plane. A primitive is specified by the opposite structure for creating the pedal, and primitivoids are known as comparatives of the p
Externí odkaz:
https://doaj.org/article/e1fe022e0a0c4305a51a48df6f3bfa23
Akademický článek
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Akademický článek
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Autor:
Xin Zhao, Donghe Pei
Publikováno v:
Mathematics, Vol 9, Iss 22, p 2852 (2021)
In this paper, we consider the pedal curves of the mixed-type curves in the Lorentz–Minkowski plane R12. The pedal curve is always given by the pseudo-orthogonal projection of a fixed point on the tangent lines of the base curve. For a mixed-type c
Externí odkaz:
https://doaj.org/article/6f577548fab343478590c9f9824c734a
Autor:
Sining Wei, Yong Wang
Publikováno v:
Symmetry, Vol 13, Iss 2, p 173 (2021)
The aim of this paper was to obtain Gauss–Bonnet theorems on the Lorentzian Heisenberg group and the Lorentzian group of rigid motions of the Minkowski plane. At the same time, the sub-Lorentzian limits of Gaussian curvature for surfaces which are
Externí odkaz:
https://doaj.org/article/5fcf1fe527e243a3b7fa898472b3989b
Publikováno v:
Open Mathematics, Vol 14, Iss 1, Pp 1149-1156 (2016)
In this paper we consider some elastic spacelike and timelike curves in the Lorentz-Minkowski plane and obtain the respective vectorial equations of their position vectors in explicit analytical form. We study in more details the generalized Sturmian
Externí odkaz:
https://doaj.org/article/50599e31a4dc414a95a9971ac53feae5
Autor:
Hiroyasu Mizuguchi
Publikováno v:
Extracta Mathematicae, Vol 32, Iss 2 (2017)
The notion of orthogonality for vectors in inner product spaces is simple, interesting and fruitful. When moving to normed spaces, we have many possibilities to extend this notion. We consider Birkhoff orthogonality and isosceles orthogonality. Recen
Externí odkaz:
https://doaj.org/article/83da0899eb8f439b9504f88aa62a2027
Autor:
E. E. Karginova
Publikováno v:
Journal of Mathematical Sciences. 259:656-675
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::e59fae26f344b49f168c713ee8252f1f
https://doi.org/10.1007/s10958-021-05652-4
https://doi.org/10.1007/s10958-021-05652-4
Publikováno v:
Networks. 80:77-92
We present methods for simplifying the geometry of polygonal obstacles as a preprocessing step to solving obstacle-avoiding Steiner network problems in the plane. The methods reduce the total number of vertices and edges that need to be considered fo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::95a8b46ad4fe81296aeba1b48fc15120
https://doi.org/10.1002/net.22080
https://doi.org/10.1002/net.22080
Autor:
Haiming Liu, Jianyun Guan
Publikováno v:
Journal of Function Spaces, Vol 2021 (2021)
The group of rigid motions of the Minkowski plane with a general left-invariant metric is denoted by E 1 , 1 , g λ 1 , λ 2 , where λ 1 ≥ λ 2 > 0 . It provides a natural 2 -parametric deformation family of the Riemannian homogeneous manifold Sol
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::94c7eb938dc4cfa4b092e05d77dd3ee7
https://doi.org/10.1155/2021/1431082
https://doi.org/10.1155/2021/1431082