Results 1 to 10 of about 402,535 (171)

Some New Algebraic and Topological Properties of the Minkowski Inverse in the Minkowski Space [PDF]

The Scientific World Journal, 2013
We introduce some new algebraic and topological properties of the Minkowski inverse A⊕ of an arbitrary matrix A∈Mm,n (including singular and rectangular) in a Minkowski space μ.
Hanifa Zekraoui, Zeyad Al-Zhour, Cenap Özel   +2 more
doaj   +2 more sources

Further characterizations and representations of the Minkowski inverse in Minkowski space [PDF]

AIMS Mathematics, 2023
This paper serves to identify some new characterizations and representations of the Minkowski inverse in Minkowski space. First of all, a few representations of $ \{1, 3^{\mathfrak{m}}\} $-, $ \{1, 2, 3^{\mathfrak{m}}\} $-, $ \{1, 4^{\mathfrak{m ...
Jiale Gao, Kezheng Zuo, Qingwen Wang , Jiabao Wu   +3 more
doaj   +2 more sources

Geometric analysis of non-degenerate shifted-knots Bézier surfaces in Minkowski space. [PDF]

PLoS ONE
In this paper, we investigate the properties of timelike and spacelike shifted-knots Bézier surfaces in Minkowski space-[Formula: see text]. These surfaces are commonly used in mathematical models for surface formation in computer science for computer ...
Sadia Bashir, Daud Ahmad
doaj   +2 more sources

Metric field as emergence of Hilbert space [PDF]

Scientific Reports
First, we explain some ambiguities of spacetime and metric field as fundamental concepts. Then, from the Unruh effect point of view and using the Gelfand–Naimark–Segal construction, we construct an operator as a quanta of acceleration that we call ...
Maysam Yousefian, Mehrdad Farhoudi
doaj   +2 more sources

Generalization of the coordinates non-commutativity to a general manifold [PDF]

Iranian Journal of Physics Research, 2021
In the framework of quantum mechanics and based on the non-commutativity between the ‎coordinates in Minkowski space-time, we generalize the geometric non-commutative relation ‎to a space-time other than Minkowski.
A Jafari
doaj   +1 more source

Black Holes have Intrinsic Scalar Curvature

Reports in Advances of Physical Sciences, 2023
The scalar curvature R is invariant under isometric symmetries (distance invariance) associated with metric spaces. Gravitational Riemannian manifolds are metric spaces.
P. D. Morley
doaj   +1 more source

Generalized Spacelike Normal Curves in Minkowski Three-Space

Mathematics, 2022
Equiform geometry is considered an extension of other geometries. Furthermore, an equiform frame is a generalization of the Frenet frame. In this study, we begin by defining the term “equiform parameter (EQP)”, “equiform frame”, and “equiform formulas ...
Yusra Tashkandy, Walid Emam, Clemente Cesarano, M. M. Abd El-Raouf, Ayman Elsharkawy   +4 more
doaj   +1 more source

On Characterizations of W-Directional Curves of Null Curves in Minkowski 4-Space

Süleyman Demirel Üniversitesi Fen-Edebiyat Fakültesi Fen Dergisi, 2022
In the present paper, we investigate the casual characterizations of W-directional curves of null curves in Minkowski 4-space. In section two, the basic concepts of curves with their Frenet equations in Minkowski 4-space are provided.
Arfah Arfah
doaj   +1 more source

Introduction to Timelike Uniform B-splineCurves in Minkowski-3 Space

Journal of Mathematical Sciences and Modelling, 2018
The intention of this article is to study on timelike uniform B-spline curves in Minkowski-3 space. In our paper, we take the control points of uniform B-spline curves as a timelike point in Minkowski-3 space.
Hatice Kuşak Samancı
doaj   +1 more source

Null Darboux Curve Pairs in Minkowski 3-Space

Axioms, 2021
Based on the fundamental theories of null curves in Minkowski 3-space, the null Darboux mate curves of a null curve are defined which can be regarded as a kind of extension for Bertrand curves and Mannheim curves in Minkowski 3-space.
Jinhua Qian, Mingyu Sun, Pei Yin, Young-Ho Kim   +3 more
doaj   +1 more source