Results 1 to 10 of about 764 (50)

Black Holes have Intrinsic Scalar Curvature

open access: yesReports 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

The dual conformal box integral in Minkowski space

open access: yesNuclear Physics B, 2021
The dual conformal box integral in Minkowski space is not fully determined by the conformal invariants z and z¯. Depending on the kinematic region its value is on a ‘branch’ of the Bloch-Wigner function which occurs in the Euclidean case.
Luke Corcoran, Matthias Staudacher
doaj   +1 more source

Generalized Spacelike Normal Curves in Minkowski Three-Space

open access: yesMathematics, 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   +4 more
doaj   +1 more source

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

open access: yesSüleyman 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

Conformal quantum mechanics of causal diamonds

open access: yesJournal of High Energy Physics, 2020
It is shown that a general radial conformal Killing vector in Minkowski space-time can be associated to a generator of time evolution in conformal quantum mechanics.
Michele Arzano
doaj   +1 more source

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

open access: yesJournal 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

open access: yesAxioms, 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   +3 more
doaj   +1 more source

Some Remarks on Harmonic Functions in Minkowski Spaces

open access: yesMathematics, 2019
We prove that in Minkowski spaces, a harmonic function does not necessarily satisfy the mean value formula. Conversely, we also show that a function satisfying the mean value formula is not necessarily a harmonic function.
Songting Yin
doaj   +1 more source

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

open access: yesThe 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   +2 more
doaj   +1 more source

A New Angular Measurement in Minkowski 3-Space

open access: yesMathematics, 2020
In Lorentz−Minkowski space, the angles between any two non-null vectors have been defined in the sense of the angles in Euclidean space. In this work, the angles relating to lightlike vectors are characterized by the Frenet frame of a pseudo null ...
Jinhua Qian   +3 more
doaj   +1 more source

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