[−][src]Module diffgeom::tensors
Module containing definitions of tensors and operations on them.
Structs
ContravariantIndex | Type representing a contravariant (upper) tensor index. |
CovariantIndex | Type representing a covariant (lower) tensor index. |
Tensor | Struct representing a tensor. |
Enums
IndexType | This enum serves to represent the type of a tensor. A tensor can have any number of indices, and each one can be either covariant (a lower index), or contravariant (an upper index). For example, a vector is a tensor with only one contravariant index. |
Traits
Concat | Operator trait used for concatenating two variances. |
Contract | An operator trait representing tensor contraction |
InnerProduct | Trait representing the inner product of two tensors. |
OtherIndex | Trait representing the other index type |
TensorIndex | Trait identifying a type as representing a tensor index. It is implemented
for |
Variance | Trait identifying a type as representing a tensor variance. It is implemented for
|
Type Definitions
Contracted | Helper type for contraction |
Covector | A covector type (rank 1 covariant tensor) |
InvTwoForm | A rank 2 doubly contravariant tensor |
Joined | Helper type for variance concatenation. |
Matrix | A matrix type (rank 2 contravariant-covariant tensor) |
Scalar | A scalar type, which is a tensor with rank 0. |
TwoForm | A bilinear form type (rank 2 doubly covariant tensor) |
Vector | A vector type (rank 1 contravariant tensor) |