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Locally conformally flat quasi-Einstein manifolds
-
Giovanni Catino
,
Carlo Mantegazza
Published/Copyright:
January 21, 2012
Abstract
In this paper we prove that any complete locally conformally flat quasi-Einstein manifold of dimension n ≧ 3 is locally a warped product with (n − 1)-dimensional fibers of constant curvature. This result includes also the case of locally conformally flat gradient Ricci solitons.
Received: 2010-10-28
Revised: 2011-02-23
Published Online: 2012-01-21
Published in Print: 2013-02
©[2013] by Walter de Gruyter Berlin Boston
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- Fitting ideals of ℓ-adic realizations of Picard 1-motives and class groups of global function fields
