Quadruple tensor
Four-tensor is a term from the theory of relativity . A four-tensor is a tensor over the 4-dimensional vector space of Minkowski space-time and its dual space , or in general relativity over the tangential space to spacetime , a four-dimensional Riemannian manifold .
A quadruple tensor of level is an element of the tensor product
Such a tensor of level is called -fold contravariant and -fold covariant. Four-tensors of level or are also called contravariant or covariant four-vectors .
First-order quad tensors can be represented by a vector with four entries. Examples:
Fourth-order tensors of the second order can be represented by a matrix . Examples:
A fourth-order quadruple tensor can be represented by entries. Example:
Web links
- Quadruple tensor in the lexicon of physics