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

100%

Ghosh A.

Annales Polonici Mathematici

2015

tom 115

nr 1

33-41

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.

Certain contact metrics satisfying the Miao-Tam critical condition

63%

Patra D., Ghosh A.

Annales Polonici Mathematici

2016

tom 116

nr 3

263-271

We study certain contact metrics satisfying the Miao-Tam critical condition. First, we prove that a complete K-contact metric satisfying the Miao-Tam critical condition is isometric to the unit sphere $S^{2n+1}$. Next, we study (κ,μ)-contact metrics satisfying the Miao-Tam critical condition.

Ograniczanie wyników

2 Annales Polonici Mathematici

2 Ghosh A.

1 Patra D.

1 2016

1 2015

Wyniki wyszukiwania

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

Certain contact metrics satisfying the Miao-Tam critical condition