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)
(…)
Sigurdur Helgason, Geometric Analysis on Symmetric Spaces, Mathematical Surveys and Monographs 39 (1994) [doi:10.1090/surv/039]
Jürgen Jost, Riemannian Geometry and Geometric Analysis, Springer (2017) [doi:10.1007/978-3-319-61860-9]
See also:
Created on December 5, 2023 at 09:05:50. See the history of this page for a list of all contributions to it.