| 1 Transformation | | | |  | (1) | | Contravariant Vector |  | (2) | | Coordinate System Transformation |  | (3) | | Contravariant Vector Transformation |  | (4) | | Covariant Vector |  | (5) | | Covariant Vector Transformation | 
| (6) | | where | 
| (7) | | Equal Value | 
| (8) | | Kronecker Delta | 
| (9) | | Invers Matrix | 
| (10) | | therefore | 
| (11) | | Scalar product of a Covariante with a Contravariant Vector is Invariant | 
| (12) | | Covariant Vector of a Contravariant Vector | 
| (13) | | Contravariant Vector of a Covariant Vector | 
| (14) | | Transformation | 
| (15) | | General Transformation | | Differentiation | | | | 
| (16) | | Covariant Gradient | 
| (17) | | d'Alembertian Operator | | Operations | | | | 
| (18) | | Linear Combination of Tensors | 
| (19) | | Direct Product of Tensors | 
| (20) | | Contraction of Tensors | 
| (21) | | Differentiation of Tensors | 
| (22) | | Covariant Minkowski Tensor | 
| (23) | | Contravariant Minkowski Tensor | | Levi-Civita Tensor | | | | 
| (24) | | Levi-Civita Tensor | 
| (25) | | Transformation of the Levi-Civita Tensor (1) | 
| (26) | | Transformation of the Levi-Civita Tensor (2) |
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Last Updated ( Sunday, 07 December 2008 02:22 )
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Tensors
