differential form
A completely antisymmetric tensor that is defined on a Riemannian manifoldA completely antisymmetric tensor (of order p) that is defined on a Riemannian manifold; an expression, derived by applying a formalism to said tensor, that represents an integrand over the manifold.
» Going back to Leibniz and Newton, people thought about differentials in terms of small changes. The differential forms viewpoint came centuries later.
Zu Zeiten von Leibniz und Newton stellte man sich unter Differentialen kleine Änderungen vor. Die Sichtweise der Differentialformen kam erst Jahrhunderte später auf.
Meaning
1 senses(sometimes)A completely antisymmetric tensor (of order p) that is defined on a Riemannian manifold; an expression, derived by applying a formalism to said tensor, that represents an integrand over the manifold.
The notion of differential form combines the concepts of multilinear form (itself an extension of linear form) and smooth function.
Examples
1 sentencesGoing back to Leibniz and Newton, people thought about differentials in terms of small changes. The differential forms viewpoint came centuries later.
deZu Zeiten von Leibniz und Newton stellte man sich unter Differentialen kleine Änderungen vor. Die Sichtweise der Differentialformen kam erst Jahrhunderte später auf.
Origin
From early 20th century.From early 20th century.
Wiktionary, CC BY-SA 4.0 · source
Forms
plural: differential forms| Singular | differential form |
|---|---|
| Plural | differential forms |
regular