In mathematics, the signature (v, p, r) of a metric tensor g (or equivalently, a real quadratic form thought of as a real symmetric bilinear form on a...

unit i and 2π, rather than just choices of sign. In relativity, the metric signature can be either (+,−,−,−) or (−,+,+,+). (Note that throughout this article...

in spacetime, here simply called the Minkowski inner product, with metric signature either (+ − − −) or (− + + +). The tangent space at each event is a...

A time signature (also known as meter signature, metre signature, and measure signature) is a convention in Western music notation that specifies how many...

in which the signature of the metric is (1, n−1) (equivalently, (n−1, 1); see Sign convention). Such metrics are called Lorentzian metrics. They are named...

In the mathematical field of differential geometry, a metric tensor (or simply metric) is an additional structure on a manifold M (such as a surface)...

gravitational potential is represented by the metric tensor." This article works with a metric signature that is mostly positive (− + + +); see sign convention...

Isotopic signature, a characteristic set of ratios of stable or unstable isotopes Metric signature, in physics, refers to the form of a metric tensor:...

functions as the metric tensor over the space. In n+1 dimensional Minkowski space, there are two choices for the metric with opposite signature, in the 3-dimensional...

}=\operatorname {diag} (-1,1,1,1)} is the metric tensor of Minkowski spacetime. In time-positive metric signature tensor notation, the stress–energy tensor...

the Lie algebra and the spin group. Depending on the dimension and metric signature, this realization of spinors as column vectors may be irreducible or...

along the path P. In the equation above, the metric tensor is assumed to use the +−−− metric signature, and is assumed to be normalized to return a time...

see Einstein notation. (Some authors alternatively use the negative metric signature of (− + + +), with η 00 = − 1 , η 11 = η 22 = η 33 = 1 {\displaystyle...

} is the standard Riemannian metric of the unit 2-sphere. Note the conventions being used here are the metric signature of (− + + +) and the natural units...

light. Whether the plus or minus sign applies depends on the choice of metric signature. For an object at rest its four-velocity is parallel to the direction...

equations through the stationary-action principle. With the (− + + +) metric signature, the gravitational part of the action is given as S = 1 2 κ ∫ R − g...

(electromagnetic tensor) can be written as a 2-form in Minkowski space with metric signature (− + + +) as F ≡ 1 2 F μ ν d x μ ∧ d x ν = B x d y ∧ d z + B y d z...

vector bosons, i.e. the Z and W bosons. This article uses the (+−−−) metric signature and tensor index notation in the language of 4-vectors. The field involved...

Here, the Klein–Gordon equation is given for both of the two common metric signature conventions η μ ν = diag ( ± 1 , ∓ 1 , ∓ 1 , ∓ 1 ) {\displaystyle \eta...

by signature ( p , q ) {\displaystyle (p,q)} . This is a metric associated to n = p + q {\displaystyle n=p+q} dimensional real space. The metric has...

often written in terms of the four-momentum; in Einstein notation with metric signature (+,−,−,−) and units where the speed of light c = 1 {\displaystyle c=1}...

(list of releases) Neal, Jocelyn (2000). "Songwriter's Signature, Artist's Imprint: The Metric Structure of a Country Song". In Wolfe, Charles K.; Akenson...

group O(1, 3), the Lorentz group or, for those that prefer the other metric signature, O(3, 1) (also called the Lorentz group). One has: which is precisely...

equivalence class of such metrics is known as a conformal metric or conformal class. Thus, a conformal metric may be regarded as a metric that is only defined...

construction is the completion of a metric space by its Cauchy sequences. Generalised metric – Metric geometry Metric signature – Number of positive, negative...

Determinant of A is either 1 or -1 (Due to it being diagonal) Metric signature Signature (matrix) Bapat, R. B. (2010), Graphs and matrices, Universitext...

12-dimensional spacetime having two dimensions of time, giving it the metric signature (10,2). The existence of a well-posed initial value problem for the...

the Minkowski metric as a square matrix. The Minkowski metric is not a Euclidean metric, because it is indefinite (see metric signature). A number of...

eigenvalues on each open ray from the origin in the complex plane. Metric signature Morse theory Cholesky decomposition Haynsworth inertia additivity formula...

spacetime. This article uses the ( + − − − ) {\displaystyle (+---)} metric signature for Minkowski space. The Lagrangian density for a real scalar field...