Revision #759 → #1132 · back to history
addedCovariant derivative (lead)f68b76a0ef43
addedCovariant transformation law0a65faf04e40
addedCovariant derivative as a rule on vectors and vector fields1ea0ee677eed
addedParticle in polar coordinates8cbd812bd5ac
addedParallel transport on a globefcd36349edb8
addedExistence of Levi-Civita connectionba8068f1ec35
addedLocality of covariant derivative7356b0a115fa
addedEmbedding setup for covariant derivative5caf4129eff3
addedDecomposition via Christoffel symbols0a34316c3b78
addedLevi-Civita covariant derivative as orthogonal projection6614c893c4ab
addedChristoffel symbols in terms of the metricd3b1f0fcb0cf
addedCircle rolled into a cylinder37a18a5a4693
addedCovariant derivative as a Koszul connectioneac834db4f90
addedCovariant derivative of a functione0aeb7a63ad9
addedCovariant derivative of f along a vector fielda84a815e6416
addedEquality with Lie and exterior derivative on functionsc5ce29ddd98e
addedCovariant derivative of a vector field9709a091e040
addedDependence on a neighborhood1b97a4fa0e9c
addedCovariant derivative of a vector field on a domain3ae0f4edb9f4
addedCovariant derivative of a covector field6fe3a9c32585
addedCovariant derivative of covector is covector8d6af362e6e7
addedCovariant derivative of a tensor field523e3f0d0a08
addedExplicit formula for covariant derivative of tensor1ead24c92896
addedConnection coefficients (Christoffel symbols)2842d021f586
addedCoordinate formula for covariant derivative of vector field464b684e2229
addedCoordinate formula for covectors3b055885bb68
addedCoordinate formula for tensor fieldse54e09ce4a4e
addedTensor density correction term45af55ccb801
addedDeterminant of metric as scalar density7237b480a76f
addedSemicolon/comma notationaf2f93915dbd
addedMultiple semicolon indices350c0c6c6f0e
addedDouble pipe notation (Adler, Bazin & Schiffer)964e30aa20c3
addedCovariant derivative of a scalar field6442b00d9108
addedCovariant derivative of a contravariant vector field0a32f0026175
addedCovariant derivative of a covariant vector field23fe8b0faaa8
addedCovariant derivative of a (2,0) tensor field3416a05c7328
addedCovariant derivative of a (0,2) tensor field84273168669e
addedCovariant derivative of a (1,1) tensor field242abefad399
addedRiemann tensor via commutator of covariant derivativesb2742fc6b57d
addedCommutator on (2,0)-tensor field4567372ff3c4
addedCovariant derivative along a smooth curve5ed9235452f4
addedGeodesic of the covariant derivative95c26211ef49
addedGeodesics of Levi-Civita are metric geodesics4340bf109e09
addedAbsolute/intrinsic derivatived1fe1cdced05
addedAntisymmetrized covariant derivative vs Lie derivative637225fa5198