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 of differentiable manifolds, for each we have the differential of at . These maps define a unique tangent map of tangent bundles (as vector bundles) such that the diagram
commutes for each . The differential of at (or sometimes the composition ) is then denoted ,
making into a functor (see differentiation).
Last revised on October 18, 2023 at 03:28:48. See the history of this page for a list of all contributions to it.