"1"^^ . . "0010-3616" . "P(LC505), S" . "For even dimensional conformal manifolds several new conformally invariant objects were found recently: invariant differential complexes related to, but distinct from, the de Rham complex (these are elliptic in the case of Riemannian signature); the cohomology spaces of these; conformally stable form spaces that we may view as spaces of conformal harmonics; operators that generalise Branson's Q-curvature; global pairings between differential form bundles that descend to cohomology pairings. Here we show that these operators, spaces, and the theory underlying them, simplify significantly on conformally Einstein manifolds. We give explicit formulae for all the operators concerned. The null spaces for these, the conformal harmonics, and the cohomology spaces are expressed explicitly in terms of direct sums of subspaces of eigenspaces of the form Laplacian. For the case of non-Ricci flat spaces this applies in all signatures and without topological restrictions." . . . . "25"^^ . "14310" . "RIV/00216224:14310/08:00027954" . . . . "[E7E0EFED7394]" . . "284" . "RIV/00216224:14310/08:00027954!RIV10-MSM-14310___" . . "Communications in Mathematical Physics" . "\u0160ilhan, Josef" . . "For even dimensional conformal manifolds several new conformally invariant objects were found recently: invariant differential complexes related to, but distinct from, the de Rham complex (these are elliptic in the case of Riemannian signature); the cohomology spaces of these; conformally stable form spaces that we may view as spaces of conformal harmonics; operators that generalise Branson's Q-curvature; global pairings between differential form bundles that descend to cohomology pairings. Here we show that these operators, spaces, and the theory underlying them, simplify significantly on conformally Einstein manifolds. We give explicit formulae for all the operators concerned. The null spaces for these, the conformal harmonics, and the cohomology spaces are expressed explicitly in terms of direct sums of subspaces of eigenspaces of the form Laplacian. For the case of non-Ricci flat spaces this applies in all signatures and without topological restrictions."@en . "2" . . "conformal operators on forms; Detour complexes; complex harmonics; conformal pairing; global conformal invariants; eigenvalues of the Laplacian"@en . . . . "Conformal Operators on Forms and Detour Complexes on Einstein Manifolds"@en . "Conformal Operators on Forms and Detour Complexes on Einstein Manifolds"@en . . . "NL - Nizozemsko" . . "000260065100001" . "Conformal Operators on Forms and Detour Complexes on Einstein Manifolds" . "Conformal Operators on Forms and Detour Complexes on Einstein Manifolds" . "2"^^ . "361020" . . "Gover, Rod" . .