# Tensor density

pseudo-tensor

A geometric object described in a coordinate system by components , , transforming under a change of coordinates according to the formula

where . The number is called the weight of the tensor density. When , the tensor density is a tensor (cf. Tensor on a vector space). Concepts such as type, valency, covariance, contravariance, etc. are introduced similar to the corresponding tensor concepts. Tensor densities of types and are called vector densities. Tensor densities of type are called scalar densities.