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arXiv · 1206.4980

Characterizations and integral formulae for generalized quasi-Einstein metrics

Abdênago Barros·Ernani Ribeiro Jr
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Abstract

The aim of this paper is to present some structural equations for generalized quasi-Einstein metrics which was defined recently by Catino in [12]. In addition, supposing that the Riemannian manifold is Einstein we shall show that it is a space form with a well defined potential function f. Finally, we shall derive some integral formulae for such a class of compact manifolds which permit to obtain some rigidity results.

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Abdênago Barros, Ernani Ribeiro Jr. 2012-09-12. Characterizations and integral formulae for generalized quasi-Einstein metrics. https://arxiv.org/abs/1206.4980

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