Geodesic
INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 213-223

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

The aim of this paper is to extend for the m-quasi-Einstein metrics some integral formulae obtained in [1] (C. Aquino, A. Barros and E. Ribeiro Jr., Some applications of the Hodge-de Rham decomposition to Ricci solitons, Results Math. 60 (2011), 245–254) for Ricci solitons and derive similar results achieved there. Moreover, we shall extend the m-Bakry-Emery Ricci tensor for a vector field X on a Riemannian manifold instead of a gradient field ∇f, in order to obtain some results concerning these manifolds that generalize their correspondents to a gradient field.
DOI : 10.1017/S0017089511000565
Mots-clés : Primary 53C25, 53C20, 53C21, secondary 53C65 
BARROS, A.; JR., E. RIBEIRO. INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS. Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 213-223. doi: 10.1017/S0017089511000565
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