| 21. | A four-tensor with contravariant rank 1 and covariant rank 0.
|
| 22. | Let h and k be symmetric covariant 2-tensors.
|
| 23. | In curved space-time, we must take the covariant derivative.
|
| 24. | We'll favor writing quantities with respect to the covariant basis.
|
| 25. | The equation above contains partial derivatives and is therefore not manifestly covariant.
|
| 26. | Automorphisms \ widetilde f are called the general covariant transformations of T.
|
| 27. | Covariant Hamiltonian field theory is the relativistic formulation of Hamiltonian field theory.
|
| 28. | The covariant version of the four-force is:
|
| 29. | Where the lowered index indicates it to be covariant.
|
| 30. | Contravariant and covariant vectors are geometrically very different objects.
|
