Results 11 to 20 of about 402,535 (171)
Conformal quantum mechanics of causal diamonds
Journal 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
Some Remarks on Harmonic Functions in Minkowski Spaces
Mathematics, 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
New characterization of d-focal curves in Minkowski 3-space
Boletim da Sociedade Paranaense de Matemática, 2018 In this paper, we construct new D-focal curves in the Minkowski 3-space M₁³. Finally, we give some characterizations about D-focal curves in the Minkowski 3-space M₁³.
Talat Körpınar +2 more
doaj +1 more source
A New Angular Measurement in Minkowski 3-Space
Mathematics, 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
Evolutoids and pedaloids of frontals on timelike surfaces
Open 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
Universal 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
The Real Meaning of Complex Minkowski-Space World-Lines [PDF]
Class.Quant.Grav.27:075009,2010, 2009 In connection with the study of shear-free null geodesics in Minkowski space, we investigate the real geometric effects in real Minkowski space that are induced by and associated with complex world-lines in complex Minkowski space. It was already known, in a formal manner, that complex analytic curves in complex Minkowski space induce shear-free null ...
arxiv +1 more source
Darboux Vector in Four-Dimensional Space-Time
Advances 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
The Minkowski problem in Heisenberg groups [PDF]
arXiv, 2023 As we all know, the Minkowski type problem is the cornerstone of the Brunn-Minkowski theory in Euclidean space. The Heisenberg group as a sub-Riemannian space is the simplest non-Abelian degenerate Riemannian space that is completely different from a Euclidean space.
arxiv
Global simulations of Minkowski space-time including space-like infinity [PDF]
Phys. Rev. D 95, 024035 (2017), 2016 In this work, we study linearised gravitational fields on the entire Minkowski space-time including space-like infinity. The generalised conformal field equations linearised about a Minkowski background are utilised for this purpose. In principle, this conformal representation of Einstein's equations can be used to carry out global simulations of ...
arxiv +1 more source