# covector

If $V$ is a vector space^{} over a field $k$, then a covector is a linear map $\alpha :V\to k$, that is, and element of the dual space to $V$. Thus, for example, a covector field on a differentiable manifold is a synonym for a 1-form (http://planetmath.org/DifferentialForms).

Title | covector |
---|---|

Canonical name | Covector |

Date of creation | 2013-03-22 13:14:39 |

Last modified on | 2013-03-22 13:14:39 |

Owner | bwebste (988) |

Last modified by | bwebste (988) |

Numerical id | 6 |

Author | bwebste (988) |

Entry type | Definition |

Classification | msc 15-00 |