4.5 Article

Locally conformally flat quasi-Einstein manifolds

Journal

JOURNAL FUR DIE REINE UND ANGEWANDTE MATHEMATIK
Volume 675, Issue -, Pages 181-189

Publisher

WALTER DE GRUYTER & CO
DOI: 10.1515/CRELLE.2011.183

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Funding

  1. Italian project FIRB-IDEAS Analysis and Beyond

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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.

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