Conformal Killing forms on Riemannian manifolds

By U. Semmelmann. 2002

249 citations recorded by the source corpus.

Subfields: Applied Mathematics, Geometry and Topology

View Paper: https://www.semanticscholar.org/paper/904867c9b5c86f9e1b0f3fef88a22dff394fabd5

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In Applied Mathematics

In Geometry and Topology

Citations in the corpus

PROLONGATIONS OF GEOMETRIC OVERDETERMINED SYSTEMS (2004, background): “If G = SL(n + 1,R), there is a |1|-grading on g = sl(n + 1,R) so that G′0 = SL(n,R), included into G as in the discussion after Theorem 2.1.”
Conformal submanifold geometry I-III (2010, background): “The equation dω = 0, viewed as an equation on [ω] implies that the latter is a conformal Killing form in the sense of [69].”
Sasaki-Einstein Manifolds (2010, unknown): “In fact if φ is Hamiltonian then the (1, 1)-form φ− 1 2(Trωφ)ω a is conformal Killing 2form in the sense of [92].”
Twistor forms on Kähler manifolds (2003, background): “[ 15 ]). Let (M n, g) be a Riemannian spin manifold with twistor spinors ψ1 and ψ2. Then for any k the associated k‐form ωk is a twistor form.”
Hamiltonian 2-Forms in Kähler Geometry, I General Theory (2002, methodology): “In this appendix we relate hamiltonian 2-forms to conformal Killing 2-forms, which have been investigated recently by Moroianu and Semmelmann [18, 22].”
Maximally homogeneous para-CR manifolds of semisimple type (2006, unknown): “ is a Hermitian Killing form if and only if DXϕ= (XyA)λp,q for some form Ain λp,q+1 ⊕ λp+1,q and for all Xin TM. This is much in analogy with the concept of twistor form from Riemannian geometry, see [56], for details. We shall just recall that that a diﬀerential form ϕ in Λp(N), where (Nn,h) is som”
Supersymmetry on curved spaces and holography (2012, unknown): “[105].”
Homogeneous nearly K\"{a}hler manifolds (2006, background): “One is by spinors [4] ; others by differential forms [41, 9] ; the original one by Gray [23] was found incorrect (see [3]).”