# Levi-Civita symbol

The**Levi-Civita symbol**, also called the

**permutation symbol**, is defined as follows:

The tensor whose components are given by the Levi-Civita symbol (a tensor of covariant rank 3) is sometimes called the **permutation tensor**.

The Levi-Civita symbol can be generalized to higher dimensions:

A related symbol is the Kronecker delta.\n