synthetic differential geometry
Introductions
from point-set topology to differentiable manifolds
geometry of physics: coordinate systems, smooth spaces, manifolds, smooth homotopy types, supergeometry
Differentials
Tangency
The magic algebraic facts
Theorems
Axiomatics
Models
differential equations, variational calculus
Chern-Weil theory, ∞-Chern-Weil theory
Cartan geometry (super, higher)
Given a differentiable map between differentiable manifolds (e.g. a smooth map between smooth manifolds) and thinking of vector fields as infinitesimal approximations to differentiable curves
then the postcomposition of these curves with induces maps of equivalence classes
alternatively denoted “” or “” (cf. differentiation as a functor) and called the pushforward of vector fields along .
Most texts on differential geometry will discuss pushforward of vector fields.
See also
Created on June 21, 2024 at 09:45:41. See the history of this page for a list of all contributions to it.