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)
For a Riemannian manifold or pseudo-Riemannian manifold its isometry group
is that subgroup of the group of all diffeomorphisms that are isometries: which preserve the metric in that
The Lie algebra of is spanned by the Killing vectors of .
The isometry group of Minkowski spacetime is the Poincaré group.
The isometry group of anti de Sitter spacetime is the anti de Sitter group.
The isometry group of de Sitter spacetime is the de Sitter group.
Special subgroups of isometry groups:
Last revised on November 13, 2018 at 10:44:25. See the history of this page for a list of all contributions to it.