Geodesic
Generalized $m$-quasi-Einstein metric within the framework of Sasakian and $K$-contact manifolds
Amalendu Ghosh1
1 Department of Mathematics Chandernagore College Chandannagar 712 136, W.B., India
Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 33-41.

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

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 $m \not =1$.
DOI : 10.4064/ap115-1-3
Keywords: consider generalized m quasi einstein metric within framework sasakian k contact manifolds first prove complete sasakian manifold admitting generalized m quasi einstein metric compact isometric unit sphere generalize complete k contact manifolds

Amalendu Ghosh 1

1 Department of Mathematics Chandernagore College Chandannagar 712 136, W.B., India 
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Amalendu Ghosh. Generalized $m$-quasi-Einstein metric within
 the framework of Sasakian and $K$-contact manifolds. Annales Polonici Mathematici, Tome 115 (2015) no. 1, pp. 33-41. doi : 10.4064/ap115-1-3. http://geodesic.mathdoc.fr/articles/10.4064/ap115-1-3/

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