cartesian tensor

Input interpretation

Cartesian tensor

Definition

A Cartesian tensor is a tensor in three-dimensional Euclidean space. Unlike general tensors, there is no distinction between covariant and contravariant indices for Cartesian tensors. However, tensors in non-Euclidean spaces (e.g., Lorentzian spaces) do require this distinction.

Related terms

affine tensor | contravariant tensor | covariant tensor | tensor

Subject classifications

MathWorld

tensor analysis

MSC 2010

53A45