Manifolds

Documentation of DGkernel

code and documentation by jph - download from www.hakenberg.de

Vector fields

Integral curve, flow

Commutator vector field

Linear connection

Semi-Riemannian geometry

Metric

Orthogonal frame via gram schmidt or eigendecomposition

Christoffel symbols, Levi-Civita connection

Parallel transport

Geodesics, Exponential Map

Curvature

Laplace operator

Miscellaneous

Witch of Agnesi

Surfaces of revolution • from [Kü03] pp.52-54

Geometric torus with signature 1,1

Neukirchner tiling

Möbius band

Stokes Theorem

Created by Mathematica  (December 22, 2006)