M ay 2 00 7 Generalized CRF-structures by Izu Vaisman

A generalized F-structure is a complex, isotropic subbundle E of T c M ⊕ T * c M (T c M = T M ⊗ R C and the metric is defined by pairing) such that E ∩ ¯ E ⊥ = 0. If E is also closed by the Courant bracket, E is a generalized CRF-structure. We show that a generalized F-structure is equivalent with a skew-symmetric endomorphism Φ of T M ⊕ T * M that… (More)