In linear algebra, a two-form is another term for a bilinear form, typically used in informal discussions, or sometimes to indicate that the bilinear form is skew-symmetric. Linear algebra is the branch of Mathematics concerned with In Mathematics, a bilinear form on a Vector space V is a Bilinear mapping V  ×  V  →  F, where

In differential geometry, a two-form refers to a differential form of degree two. Differential geometry is a mathematical discipline that uses the methods of differential and integral Calculus to study problems in Geometry In the mathematical fields of Differential geometry and Tensor calculus, differential forms are an approach to Multivariable calculus which is In other words, a two-form is a rank 2 skew-symmetric covariant tensor field. In Mathematics, Physics and Engineering, a tensor field is a very general concept of variable geometric quantity

For a given vector space, the space of two-forms is spanned by the wedge product of basis one-forms. See differential form

See also

• Mixed tensor
• Metric tensor