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- One-form abstract "In linear algebra, a one-form on a vector space is the same as a linear functional on the space. The usage of one-form in this context usually distinguishes the one-forms from higher-degree multilinear functionals on the space. For details, see linear functional.In differential geometry, a one-form on a differentiable manifold is a smooth section of the cotangent bundle. Equivalently, a one-form on a manifold M is a smooth mapping of the total space of the tangent bundle of M to whose restriction to each fibre is a linear functional on the tangent space. Symbolically,where αx is linear.Often one-forms are described locally, particularly in local coordinates. In a local coordinate system, a one-form is a linear combination of the differentials of the coordinates:where the fi are smooth functions. From this perspective, a one-form has a covariant transformation law on passing from one coordinate system to another. Thus a one-form is an order 1 covariant tensor field.".
- One-form thumbnail 1-form_linear_functional.svg?width=300.
- One-form wikiPageID "314692".
- One-form wikiPageRevisionID "572134920".
- One-form hasPhotoCollection One-form.
- One-form subject Category:Differential_forms.
- One-form subject Category:One.
- One-form type Abstraction100002137.
- One-form type DifferentialForms.
- One-form type Form106290637.
- One-form type LanguageUnit106284225.
- One-form type Part113809207.
- One-form type Relation100031921.
- One-form type Word106286395.
- One-form comment "In linear algebra, a one-form on a vector space is the same as a linear functional on the space. The usage of one-form in this context usually distinguishes the one-forms from higher-degree multilinear functionals on the space. For details, see linear functional.In differential geometry, a one-form on a differentiable manifold is a smooth section of the cotangent bundle.".
- One-form label "1-forma".
- One-form label "1-forma".
- One-form label "1-形式".
- One-form label "Forma-um".
- One-form label "Forme différentielle de degré un".
- One-form label "One-form".
- One-form label "Ковариантный вектор".
- One-form sameAs 1-forma.
- One-form sameAs Forme_différentielle_de_degré_un.
- One-form sameAs 1-forma.
- One-form sameAs Forma-um.
- One-form sameAs m.01tpfw.
- One-form sameAs Q2608202.
- One-form sameAs Q2608202.
- One-form sameAs One-form.
- One-form wasDerivedFrom One-form?oldid=572134920.
- One-form depiction 1-form_linear_functional.svg.
- One-form isPrimaryTopicOf One-form.
