Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds
Amalendu Ghosh
Annales Polonici Mathematici, Tome 113 (2015), p. 33-41 / Harvested from The Polish Digital Mathematics Library
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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 S2n+1. Next, we generalize this to complete K-contact manifolds with m ≠ 1.

Publié le : 2015-01-01
EUDML-ID : urn:eudml:doc:280465 
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     title = {Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds},
     journal = {Annales Polonici Mathematici},
     volume = {113},
     year = {2015},
     pages = {33-41},
     zbl = {1337.53040},
     language = {en},
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Amalendu Ghosh. Generalized m-quasi-Einstein metric within the framework of Sasakian and K-contact manifolds. Annales Polonici Mathematici, Tome 113 (2015) pp. 33-41. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-ap115-1-3/