A related concept is that of the antisymmetric tensor or alternating form.

This is demonstrated to generate wave equations in spherical space for a variety of antisymmetric tensor fields.

Mathematically, a Slater determinant is an antisymmetric tensor, also known as a wedge product.

A bivector is therefore an element of the antisymmetric tensor product of a tangent space with itself.

Antisymmetric tensor in matrices and index subsets.

Similarly one can express elementary symmetric polynomials via traces over antisymmetric tensor powers.

The electromagnetic field tensor , a rank-two antisymmetric tensor.

The connection between the photon antisymmetric tensor and the two-component Weyl equation was also noted by Sen.

It is shown how vector Stueckelberg fields can be introduced to ensure gauge invariance for mass terms for an antisymmetric tensor field.

The derivative of the relativistic angular momentum with respect to proper time is the relativistic torque, also second order antisymmetric tensor.

This non-Abelian gauge invariance is shown to be a property of second-order models for two index antisymmetric tensor fields in any number of dimensions.

The angular momentum density of a fluid element is written either as an antisymmetric tensor () or, equivalently, as a pseudovector.

The electromagnetic tensor is the combination of the electric and magnetic fields into a covariant antisymmetric tensor whose entries are B-field quantities.

In relativistic mechanics, the relativistic angular momentum of a particle is expressed as an antisymmetric tensor of second order:

Here juxtaposition is symmetric respectively antisymmetric multiplication in the symmetric and antisymmetric tensor algebra.

Using the antisymmetric tensor notation and comma notation for the partial derivative (see Ricci calculus), the second equation can also be written more compactly as:

A general method is given for the construction of gauge-fixed BRS and anti-BRS invariant action for the antisymmetric tensor gauge theory.

The Levi-Civita antisymmetric tensor is represented by a thick horizontal bar with sticks pointing downwards or upwards, depending on the type of tensor that is used.

The electromagnetic field tensor is another second order antisymmetric tensor field, with six components: three for the electric field and another three for the magnetic field.

An even simpler variant of this model is to let here be a numerical antisymmetric tensor, in which context it is usually denoted , so the relations are .

The antisymmetric tensor field is found to satisfy the equations of a Maxwell-Proca massive antisymmetric tensor field.

Motivated by the apparent dependence of string $sigma$--models on the sum of spacetime metric and antisymmetric tensor fields, we reconsider gravity theories constructed from a nonsymmetric metric.

G. Bertoldi, Alon E. Faraggi, M. Matone (2000) "Equivalence principle, higher dimensional Mobius group and the hidden antisymmetric tensor of Quantum Mechanics", Class.

There is another way of merging the electric and magnetic fields into an antisymmetric tensor, by replacing E/c B and B E/c, to get the dual tensor G.

Ignoring the torque on an element due to the flow ("extrinsic" torque), the viscous "intrinsic" torque per unit volume on a fluid element is written (as an antisymmetric tensor) by: