Revision #916 → #1552 · back to history
addedSchwarzian derivative (complex)b543d81ff517
addedSchwarzian derivative (real C^3)ff8f67d0ef87
addedSchwarzian of Möbius transformation vanishes87ed6a599d5b
addedMöbius transformations characterized by vanishing Schwarzian664823e9e135
addedInvariance under post-composition with Möbiusf514b77e872c
addedChain rule for Schwarzian derivative830caf9bcf31
addedSign of Schwarzian preserved under iteration31922a6e9714
addedAuxiliary function of two complex variablesd21bf809eb8c
addedInversion formula for the Schwarzian502732f5ab01
addedThurston's geometric interpretation433f7a39383b
addedUnique osculating Möbius transformation910d42578251
addedImage of circle under conformal map92b4de4eb6a0
addedCross-ratio transformation and Möbius invariance87df3c65f3f8
addedLinear second-order ODE associated to Schwarzian555849fdad46
addedSchwarzian of evaluation kernel equals coefficient411fcd2b1fa4
addedEqual Schwarzians implies fractional linear relationd23d2df64178
addedRatio of solutions satisfies Schwarzian equatione94258ac0666
addedConverse: holomorphic g determines pair of solutionsb2690b77d50e
addedQ-value of a second-order ODEe2d4692c47f0
addedGaussian hypergeometric ODEf8b49c8a45e4
addedKraus–Nehari necessary condition for univalenceb67988483f25
addedNehari sufficient condition for univalence6bb41a066ce5
addedParticular sufficient condition for univalence3f03a31cc998
addedConformal map from Schwarzian to circular-arc polygon77002d220d3d
addedSchwarzian extends to rational function with double polescb72d56babae
addedAccessory parameters8ff1f1cf2010
addedTriangle case (Schwarz triangle function)a82fce92321c
addedQuadrilateral case as Sturm–Liouvillec3d68c9fa6bf
addedLowest-eigenvalue condition via Sturm separation9be6d953995c
addedUniversal Teichmüller spaceb4074767096d
addedBers embedding via Schwarziana09b03796319
addedGehring's characterization of the Bers image88b28aad4e21
addedTeichmüller space of compact surface as quadratic differentials4d06ef5e850f
addedSchwarzian as 1-cocycle of Diff(S^1)3084b7982d83
addedVanishing of higher cohomology for compact group action6e3429cf373e
addedInfinitesimal 1-cocycle on Vect(S^1)081140f96ec2
addedUniqueness of non-zero 1-cocycle solution7fe2f1b9e008
addedVirasoro algebra as central extension042f6c56de4c
addedQuasisymmetric homeomorphisms from quasiconformal self-maps73bce0c2fd89
addedDual of Lie algebra as Hill's operatorsb2abee7296dc
addedSchwarzian in coadjoint action of Diff(S^1)fd532277b666
addedHolomorphic pseudogroup3ea60eee2d2b
addedPseudogroup defined by differential equations7e91228095f6
addedClassification of flat pseudogroups via affine/Möbiusaf96d2b3dc27
addedSchwarzian as 1-cocycle for biholomorphism pseudogroupb7aa439c8a75
addedAffine and projective structures on Riemann surfaces394c3aed4671
addedGunning's projective connection result1761b9c7460e
addedOsgood–Stowe Schwarzian on conformal manifoldsbec6b07d2077
addedCocycle law for conformal-manifold Schwarzianac4392b24183
addedMöbius transformations have vanishing Schwarzian conformal factor04ac46d651e8
addedSolutions of Schwarzian equation on Euclidean space16680a1f79d7
addedLagrangian Schwarzian for positive curvesd905acda20b3
addedVanishing Lagrangian Schwarzian characterizes symplectic equivalencec50fbfc62574
addedLagrangian Schwarzian via second-order ODE0fdc992c40b9