The most famous examples of these are related by the Bianchi identities and can be converted to matrix form using Petrov Notation. In the namesake contraction, unlike indices are made equal, resulting
The most famous examples of these are related by the Bianchi identities and can be converted to matrix form using Petrov Notation. In the namesake contraction, unlike indices are made equal, resulting in a reduction of 2 in the rank and a value of zero for the Weyl type. Other types of this mathematical object include the Ricci type and the stress-energy type, but the best-known kind is probably the Riemann version, which defines the curvature of manifolds. Widely used in physics - for 10 points - what are these entities that govern the transformation of quantities from one set of coordinates to another?
The most famous examples of these are related by the Bianchi identities and can be converted to matrix form using Petrov Notation.
tensors (accept Riemann tensor until "Weyl")