Results 21 to 30 of about 115,417 (208)

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

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

Renormalization in Minkowski space–time [PDF]

open access: yesInternational Journal of Modern Physics A, 2021
The multiplicative and the functional renormalization group methods are applied for the four-dimensional scalar theory in Minkowski space–time. It is argued that the appropriate choice of the subtraction point is more important in Minkowski than in Euclidean space–time.
Steib, I., Nagy, S., Polonyi, J.
openaire   +3 more sources

Periodic lattices in Minkowski space [PDF]

open access: yes, 2010
We describe a set of periodic lattices in (1+1)-dimensional Minkowski space, where each lattice has an associated symmetry group consisting of inhomogeneous Lorentz transformations that map the lattice onto itself.
Boozer, A. D.
core   +1 more source

Evolutoids and pedaloids of frontals on timelike surfaces

open access: yesOpen Mathematics, 2023
In this article, we define evolutoids and pedaloids of frontals on timelike surfaces in Minkowski 3-space. The evolutoids of frontals on timelike surfaces are not only the generalization of evolutoids of curves in the Minkowski plane but also the ...
Wang Yongqiao   +3 more
doaj   +1 more source

The Geometry of Bezier Curves in Minkowski 3−Space

open access: yesUniversal Journal of Mathematics and Applications, 2023
The scope of this paper is to look at some aspects of the differential geometry of Bezier curves in Minkowski space. For that purpose, we firstly introduce Frenet Bezier curve in Minkowski 3-space.
Ayşe Yılmaz Ceylan
doaj   +1 more source

On Evolutes of Null Cartan Curves in Minkowski 4-Space

open access: yesJournal of New Theory, 2021
This paper aims to discuss the theory of evolutes of null Cartan curves in Minkowski 4-space. In the second part, we present the basic concepts of curves in Minkowski 4-space with its Frenet equations.
Arfah Arfah
doaj  

Nonlinear Realization of Supersymmetric AdS Space Isometries [PDF]

open access: yes, 2005
The isometries of $AdS_5$ space and supersymmetric $AdS_5\otimes S_1$ space are nonlinearly realized on four dimensional Minkowski space. The resultant effective actions in terms of the Nambu-Goldstone modes are constructed.
Clark, T. E., Love, S. T.
core   +3 more sources

Darboux Vector in Four-Dimensional Space-Time

open access: yesAdvances in Mathematical Physics, 2022
As the space-time model of the theory of relativity, four-dimensional Minkowski space is the basis of the theoretical framework for the development of the theory of relativity.
Na Hu, Tingting Zhang, Yang Jiang
doaj   +1 more source

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