The odd-dimensional Goldberg Conjecture

Abstract

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.

An application to the main result added

References in corpus (1)

• A splitting theorem for Kahler manifolds whose Ricci tensors have constant eigenvalues

Cited by in corpus (3)

• Seiberg-Witten invariants on manifolds with Riemannian foliations of codimension 4
• Weyl-Einstein structures on K-contact manifolds
• Sasakian immersions into the sphere