Differential Geometry - Maple Help

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 Differential Geometry

For Maple 17, the DifferentialGeometry package contains over 40 new commands or commands with enhanced functionality or improved efficiency.

Updates to the DifferentialGeometry package:

 • DGsetup has a new keyword argument for declaring certain coordinates to be complex.
 • The new command DGconjugate calculates the complex conjugate of a vector, tensor or differential form, quaternion or octonion.
 • The new commands DGRe and DGIm calculate the real and imaginary parts of a vector, tensor, differential form, quaternion or octonion.
 • The new commands DGsolve, DGNullSpace and DGImageSpace provide useful utilities for solving equations whose unknowns are tensors or differential forms.
 • The new command &algmult computes non-commutative multiplication in general algebras.
 • A new geometric type, "multivector", has been created. This significantly improves computational efficiency when working with contravariant skew-symmetric tensors. The commands convert, Hook, RaiseLowerIndices, and LieDerivative have been extended to accept multi-vector arguments.

ExteriorDifferentialSystems

 • This is a new package for the study of differential systems.
 • The first release of this package contains 5 commands. These commands calculate the Cauchy characteristics, derived flags,