Energy Momentum Tensors

1-forms algebra applications associated associative algebra basis calculate called canonical Cartan Chapter components compute condition conformal conserved Consider coordinate covariant cross-section curve defined defined as follows Definition deformation denote determined developed DGCV differential form differential geometry differential operator divergence dual electromagnetic energy energy-momentum tensor equations example Exercise exterior exterior derivative F(M)-linear map F¹(M fiber space fixed formula function geometry given grad harmonic Hence Hermann ideas implies important indicate infinitesimal integral invariance J¹(E Lagrangian linear linear connection manifold Mathematics matrix means momentum tensor moving frame notation numbers physics principal Problem projection Proof proves Quantum Mechanics relation relativity Remark respect result Riemannian metric satisfies Show structure submanifold Suppose symmetric tangent bundle tangent vector tensor fields Theorem theory trace transformation usual vector bundle vector field volume element w₂ μν