Revision #171 → #1299 · back to history
addedHolonomy group (vector bundle)a2aa798ec0a3
addedRestricted holonomy group (vector bundle)a289281505a3
addedBasepoint dependence up to conjugatione91c71b652c3
addedProperties of the holonomy group066df1d5e3d6
addedHolonomy group (principal bundle)b1437cb95ec9
addedRestricted holonomy group (principal bundle)c58dd80d7335
addedBasepoint dependence (principal bundle)8812a85475b8
addedProperties of holonomy and restricted holonomy groups53100dcf1bf9
addedHolonomy bundlec563380fcae2
addedEquivariance of holonomy bundle9cfd67ddc44c
addedMonodromy groupc74c9de656a5
addedMonodromy representation27cdaeed2992
addedLocal holonomy groupddd00df89a70
addedProperties of the local holonomy group6ddb33b6fc65
addedLocal equals restricted holonomy under constant dimensioncfde5a49e855
addedCurvature as differential of holonomye705ea8831e0
addedAmbrose–Singer theoremcdf9ca8a5fe6
addedAmbrose–Singer theorem (holonomy bundle form)2ecd57fa52b1
addedRiemannian holonomye4435b2a0045
addedGeneric holonomy is O(n) or SO(n)2b3a8583c808
addedBorel–Lichnerowicz theoremea74e1427a1f
addedReducible manifold179eb026c8af
addedReducible manifold is locally a product1b2d7be87fe7
addedde Rham decomposition theorem6ee6bf4858e6
addedGlobal de Rham decomposition (geodesically complete)eef418b8d285
addedBerger classification27b6bf021326
addedSp(n)·Sp(1) manifolds carry a parallel 4-form4625b56c5a24
addedG2/Spin(7) manifolds are Ricci-flat194d69392cad
addedSpin(9) holonomy implies locally symmetriccb21adfdfc88
addedInclusions of special holonomy manifolds12406c39d170
addedIrreducible holonomy acts transitively on unit spherec0f089e0d02e
addedHolonomy of Riemannian symmetric spacese530fc5399b9
addedSpecial holonomy and parallel spinors05454f6926b8
addedAffine holonomy groupsdb12114ddb64
addedBerger's two criteria9aa963094241
addedHermitian symmetric space affine holonomies58fe8323564a
addedQuaternion-Kähler symmetric space affine holonomiesb10644752f6e