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 conjecture was formulated and proved by Boyer and Galicki, using an orbifold analogue of Sekigawa's formulas, and an approximation argument of K-contact structures with quasi-regular ones. We provide here another proof of this result and give some applications.

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. Mathematical News / Mathematische Nachrichten, 2006, 279, pp.948-952. ⟨10.1002/mana.200410404⟩. ⟨hal-00000563v3⟩