INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
Glasgow mathematical journal, Tome 54 (2012) no. 1, pp. 213-223
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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.
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
@article{10_1017_S0017089511000565,
author = {BARROS, A. and JR., E. RIBEIRO},
title = {INTEGRAL {FORMULAE} {ON} {QUASI-EINSTEIN} {MANIFOLDS} {AND} {APPLICATIONS}},
journal = {Glasgow mathematical journal},
pages = {213--223},
year = {2012},
volume = {54},
number = {1},
doi = {10.1017/S0017089511000565},
url = {http://geodesic.mathdoc.fr/articles/10.1017/S0017089511000565/}
}
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