Geodesic
QUASI-EINSTEIN CONTACT METRIC MANIFOLDS
Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 569-577

Voir la notice de l'article provenant de la source Cambridge University Press

We consider quasi-Einstein metrics in the framework of contact metric manifolds and prove some rigidity results. First, we show that any quasi-Einstein Sasakian metric is Einstein. Next, we prove that any complete K-contact manifold with quasi-Einstein metric is compact Einstein and Sasakian. To this end, we extend these results for (κ, μ)-spaces. 
GHOSH, AMALENDU. QUASI-EINSTEIN CONTACT METRIC MANIFOLDS. Glasgow mathematical journal, Tome 57 (2015) no. 3, pp. 569-577. doi: 10.1017/S0017089514000494
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