Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds

• Autorzy: Amalendu Ghosh
• Języki publikacji: EN

Abstrakty

EN

We consider generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds. First, we prove that a complete Sasakian manifold M admitting a generalized m-quasi-Einstein metric is compact and isometric to the unit sphere $S^{2n+1}$. Next, we generalize this to complete K-contact manifolds with m ≠ 1.

Kategorie tematyczne

• 53C21: Methods of Riemannian geometry, including PDE methods; curvature restrictions
• 53C15: General geometric structures on manifolds (almost complex, almost product structures, etc.)
• 53D10: Contact manifolds, general

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Annales Polonici Mathematici
• Rocznik: 2015
• Tom: 115
• Numer: 1
• Strony: 33-41

Daty

wydano

2015

Twórcy

autor

Amalendu Ghosh

• Department of Mathematics, Chandernagore College, Chandannagar 712 136, W.B., India

Identyfikatory

DOI

10.4064/ap115-1-3