The odd-dimensional Goldberg Conjecture

Vestislav Apostolov (1) , Tedi Draghici (2) , Andrei Moroianu (3)

1 DMS - Département de Mathématiques et de statistique [UdeM- Montréal]
2 FIU - Florida International University [Miami]
3 CMLS - Centre de Mathématiques Laurent Schwartz

An odd-dimensional version of the Goldberg conjecturewas formulated and proved by Boyer and Galicki, using an orbifold analogue ofSekigawa's formulas, and an approximation argument ofK-contact structures with quasi-regular ones. We provide here anotherproof of this result.

Mots clés: Goldberg conjecture; K-contact structures; Sasakian structures

Domaines: Géométrie différentielle [math.DG]

Vestislav Apostolov, Tedi Draghici, Andrei Moroianu. The odd-dimensional Goldberg Conjecture. 2003. ⟨hal-00000563v1⟩