Hodge theory on nearly Kähler manifolds

  title={Hodge theory on nearly K{\"a}hler manifolds},
  author={Misha Verbitsky},
Let (M, I,ω, Ω) be a nearly Kähler 6-manifold, that is, an SU(3)-manifold with the (3,0)-form Ω and the Hermitian form ω which satisfies dω = 3λ ReΩ, d Im Ω = −2λω, for a non-zero real constant λ. We develop an analogue of Kähler relations on M , proving several useful identities for various intrinsic Laplacians on M . When M is compact, these identities… CONTINUE READING