Minkowski space-time

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Related to Minkowski space: Minkowski metric, Minkowski inequality

Minkowski space-time

(mɪŋˈkɒfskɪ)
n
(General Physics) a four-dimensional space in which three coordinates specify the position of a point in space and the fourth represents the time at which an event occurred at that point
[C20: named after Hermann Minkowski]
References in periodicals archive ?
They illustrate the constructions in many simple examples such as the Euclidean plane, the two-dimensional Minkowski space, a conical singularity, a lattice system, and the curvature singularly of the Schwarzschild space-time.
We carry studies on the potential energy of elastic curves into a Minkowski space [E.sub.1.sup.4] .
The Serret-Frenet formulas describe the kinematic properties of a particle moving along a continuous and differentiable curve in Euclidean space [E.sup.3] or Minkowski space [E.sup.3.sub.1].
This local patch can be considered as a flat Minkowski space. The line element in Minkowski space which is the subject of measurement can be computed through the inner product of the local coordinates as
PH curves have been generalized [11] to participate in medial axis transforms [3,12], becoming MPH curves in the Minkowski space [R.sup.m,1] [8,13,14], and this has motivated a lot of further research.
Time-Like Rectifying Curves in Minkowski Space, tukasz Krzywoh and Yun Myung Oh, Andrews University
where f is a suitable smooth function, [??] denotes the Levi-Civita connection on [M.sup.3.sub.r]([rho]), r [member of] {0,1}, and [M.sup.3.sub.r] ([rho]) is a Riemannian (r = 0) or Lorentzian (r = 1) 3-space form with constant curvature [rho]; that is, [M.sup.3.sub.r] ([rho]) is one of the following: [R.sup.3], the sphere [S.sup.3], the hyperbolic space [H.sup.3], the Minkowski space [R.sup.3], the de Sitter space [S.sup.3.sub.1], or the anti de Sitter space [H.sup.3.sub.1].
For instance, in [6], the authors extended and studied spacelike involute- evolute curves in Minkowski space. Classical differential geometry of the curves may be surrounded by the topics which are general helices, involute-evolute curve couples, spherical curves and Bertrand curves.
Let S be a parametric surface on a pseudo null curve [alpha] = [alpha](s) in the 3-dimensional Minkowski space with parametrization
Global regularity for the Yang-Mills equations on high dimensional Minkowski space.
A surface in the 3-dimensional Minkowski space [R.sup.3.sub.1] is a timelike surface if and only if a normal vector field of surface is a spacelike vector field [2].
In Minkowski space we have: u = v/ [square root of (1-[v.sup.2]/[c.sup.2]), [nabla][g.sub.[mu]v] = 0.