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
Euler-Lagrange equation, de Donder-Weyl formalism?,
Chern-Weil theory, ∞-Chern-Weil theory
Cartan geometry (super, higher)
A CR manifold consists of a differentiable manifold together with a subbundle of the complexified tangent bundle, such that and .
CR manifold structure are equivalently certain first-order integrable G-structures (Dragomi-Tomassini 06, section 1.6), a type of parabolic geometry.
A close analogy between CR geometry and supergravity superspacetimes (as both being torsion-ful integrable G-structures) is pointed out in (Lott 01 exposition (4.2)).
BR manifold?
The original article is
Surveys inclides
Wikipedia, CR manifold
Sorin Dragomir, Giuseppe Tomassini, Differential Geometry and Analysis on CR Manifolds, Birkhäuser, 2006
Discussion from the point of view of Cartan geometry/parabolic geometry includes
Discussion of spherical CR manifolds locally modeled on the Heisenberg group is in:
Last revised on March 13, 2019 at 08:34:52. See the history of this page for a list of all contributions to it.