INTEGRAL FORMULAE ON QUASI-EINSTEIN MANIFOLDS AND APPLICATIONS
2011 ◽
Vol 54
(1)
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pp. 213-223
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Keyword(s):
De Rham
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AbstractThe 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.
2014 ◽
Vol 25
(11)
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pp. 1450104
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Keyword(s):
2012 ◽
Vol 23
(05)
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pp. 1250054
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2018 ◽
pp. 68-81
Keyword(s):
2021 ◽
Vol 62
◽
pp. 53-66
2012 ◽
Vol 09
(05)
◽
pp. 1250049
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Keyword(s):
2013 ◽
Vol 25
(1)
◽
pp. 668-708
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