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Qu'est-ce (qui) est cotangent$17020$ - définition
DUAL SPACE TO THE TANGENT SPACE IN DIFFERENTIAL GEOMETRY
Cotangent vector; Cotangent spaces
Cotangent space
In differential geometry, the cotangent space is a vector space associated with a point x on a smooth (or differentiable) manifold \mathcal M; one can define a cotangent space for every point on a smooth manifold. Typically, the cotangent space, T^*_x\!
Cotangent bundle
VECTOR BUNDLE OF ALL COTANGENT SPACES AT EVERY POINT IN A MANIFOLD
Tangent covector; Cotangent manifold
In mathematics, especially differential geometry, the cotangent bundle of a smooth manifold is the vector bundle of all the cotangent spaces at every point in the manifold. It may be described also as the dual bundle to the tangent bundle.
Cotangent sheaf
GIVEN A MORPHISM OF SCHEMES 𝑋→𝑆, THE SHEAF OF 𝒪_𝑋-MODULES THAT REPRESENTS 𝑆-DERIVATIONS
Tangent sheaf; Cotangent stack
In algebraic geometry, given a morphism f: X → S of schemes, the cotangent sheaf on X is the sheaf of \mathcal{O}_X-modules \Omega_{X/S} that represents (or classifies) S-derivations in the sense: for any \mathcal{O}_X-modules F, there is an isomorphism
Wikipédia
Cotangent space
In differential geometry, the cotangent space is a vector space associated with a point on a smooth (or differentiable) manifold ; one can define a cotangent space for every point on a smooth manifold. Typically, the cotangent space, is defined as the dual space of the tangent space at , , although there are more direct definitions (see below). The elements of the cotangent space are called cotangent vectors or tangent covectors.
