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DifferentialGeometry
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Page 1 of 1
DifferentialGeometry/DGNullSpace
find the null space of a linear transformation acting on a vector space of vectors, differential forms, tensors
DifferentialGeometry/DGsolve
solve a list of tensor equations for an unknown list of tensors
DifferentialGeometry/DGconjugate
find the complex conjugate of a vector, tensor or differential form; find the conjugate of a quaternion or octonion
DifferentialGeometry/AlgebraicOperations
addition, subtraction, scalar multiplication, wedge product, tensor product
DifferentialGeometry/Annihilator
find the subspace of vectors (or 1-forms) whose interior product with a given list of 1-forms (or vectors) vanishes
DifferentialGeometry/ApplyTransformation
evaluate a transformation at a point
DifferentialGeometry/ChangeFrame
change the current or active frame
DifferentialGeometry/ComplementaryBasis
extend a basis for a subspace to a basis for a larger subspace
DifferentialGeometry/ComposeTransformations
compose a sequence of two or more transformations
DifferentialGeometry/Convert
convert routines of the DifferentialGeometry package
DifferentialGeometry/DGbasis
calculate the dual basis to a given basis of vectors or 1-forms
DifferentialGeometry/DGsetup
set up a coordinate system, a frame, a Lie algebra, define a set of abstract forms
DifferentialGeometry/DGzip
form a linear combination, wedge product or tensor product of a list of vectors, forms or tensors
DifferentialGeometry/DeRhamHomotopy
apply the homotopy operator for the de Rham complex on R^n to a differential form
DifferentialGeometry/DualBasis
calculate the dual basis to a given basis of vectors or 1-forms
DifferentialGeometry/ExteriorDerivative
take the exterior derivative of a differential form
DifferentialGeometry/Flow
calculate the one parameter group of differeomorphisms (flow) of a vector field
DifferentialGeometry/FrameData
calculate the structure equations for a generic (anholonomic) frame
DifferentialGeometry/GetComponents
find the coefficients of a vector, differential form or tensor with respect to a list of vectors, differential forms or tensors
DifferentialGeometry/Hook
form the interior product of a vector or a list of vectors with a differential form
DifferentialGeometry/InfinitesimalTransformation
compute the Lie algebra of infinitesimal generators for an action of a Lie group on a manifold
DifferentialGeometry/IntegrateForm
evaluate a p-fold iterated integral of a differential p-form
DifferentialGeometry/IntersectSubspaces
find the intersection of a list of vector subspaces of vectors, forms or tensors
DifferentialGeometry/InverseTransformation
find the inverse of a transformation
DifferentialGeometry/LieBracket
calculate the Lie bracket of two vector fields or 2 vectors in a Lie algebra
DifferentialGeometry/LieDerivative
calculate the Lie derivative of a vector field, differential form, tensor, or connection with respect to a vector field
DifferentialGeometry/Preferences
DifferentialGeometry[Preferences]
DifferentialGeometry/Pullback
pullback a differential p-form by the Jacobian of a transformation
DifferentialGeometry/PullbackVector
find (if possible) a vector field whose pushforward by the Jacobian of a given transformation is a given vector field
DifferentialGeometry/Pushforward
pushforward a vector or a vector field by the Jacobian of a transformation
Page 1 of 1