Revision #602 → #1405 · back to history
addedMinkowski spaced57a8902f764
addedSpacetime interval / Minkowski norm squared612f282bc043
addedLight coneafd3860d5b75
addedMinkowski inner product9ea16f686ff7
addedLorentz groupe41ed2784940
addedTimelike, spacelike, null vectors466d9957680b
addedLight cone of an eventd7154bc0572f
addedFuture- and past-directed timelike vectors27f86e1234db
addedThree classes of null vectors34d0789ac34b
addedComposition of an orthonormal basis70aac34700e7
addedNull basis9666d5372d6d
addedTimelike/spacelike/null vector fields884559952b76
addedConvexity of the light conesa4f224beb989
addedScalar product of time-like vectorsf5148c348e20
addedPositivity of the scalar productea2838df4709
addedZero scalar product implies space-like09c9f369fb66
addedPositive sum of similarly directed time-like vectors12a919ee956d
addedNorm of a time-like vector100d25b644e6
addedReversed Cauchy inequality2a02c15a6475
addedReversed triangle inequality13d1a247347d
addedMinkowski space as a vector space with bilinear form134ec381a438
addedCanonical identification of tangent vectors83c983c01d86
addedTangent vector as a column vector under Lorentz transformation2de19c79235a
addedMetric signature335bf355b317
addedMinkowski metric tensor1b621712813c
addedLorentzian manifold6aafb2936699
addedMinkowski space as pseudo-Euclidean spacedbe3c30835e0
addedMetric on abstract vector space V4571d8ce5751
addedBorn coordinates and light-cone coordinatesc8d2aab512eb
addedMinkowski inner product is indefinite34984896b98e
addedMinkowski metric as metric tensor94dd9212cd52
addedMinkowski inner product definitionc0e46e4eae6c
addedMinkowski norm squared1b10c5973f14
addedInvariance of inner product under Lorentz transformations5b72cfccd9b9
addedDefining property of a Lorentz transformation11ef6be5cb37
addedOrthogonality of events8e78fd05a559
addedHyperbolic orthogonality9b65ee99eedb
addedRapidity4183ab12641f
addedSpacetime interval530e6a9d4ffe
addedInvariance of the interval under linear transformationse6b848f2b225
addedStandard (orthonormal) basis590860ce24a3
addedTimelike and spatial components322cf6891d3c
addedStandard bases related by Lorentz transformationf80928ef90fd
addedNon-degenerate form gives map to dual2c20153b6151
addedCovariant vectors8e98829c9894
addedContravariant vectors5b000987d842
addedRaising of an index70d354f9b124
addedLowered vector via partial evaluation204354fb556a
addedNon-degeneracy equals injectivity of partial evaluation51e392d86ec9
addedExterior derivative as covector fielddf938568fad6
addedVector fieldad757c169b8d
addedChronological precedenced46decd26d4d
addedCausal precedence4aa230107531
addedSimultaneous hyperplaned5ba38156bfd
addedLorentzian manifold as generalizationa45daecbe15a
addedComplexified Minkowski spacee1d52be903a6
addedInner product on complexified Minkowski space0999fd480d0c
addedRelativistic pure spin1576190a6860
addedn-dimensional Minkowski space5dccc8d2cd8c
addedString theory and M-theory0bf9120e8c58
addedde Sitter space as submanifold0c65040e8e57
addedFlat spacetime obeys the Pythagorean theorembe9511df9faf
addedLocal approximation by Minkowski spacee3c101ea5bf6
addedMinkowski space is not a metric or Riemannian spacead8608e7dc1a
addedIsometric embedding of hyperbolic spaces8d85e6d21b71
addedHyperboloid model of hyperbolic spacebc5c1415683d
addedConstant negative curvature of the hyperboloidbdec957c1430
addedBehavior of tensors under inclusion508e3840040a
addedPullback of a covariant tensor6a02163d16e7
addedPushforward of vectorsb16642f21364
addedParametrization of a submanifoldd8bf3d6a2dc2
addedHyperbolic stereographic projectionee43bacf5016
addedPulled-back metric is the Poincaré ball metricf04b6b2e1459