On the characterization of Riemannian warped product Einstein metrics

Sayed Mohammad Reza Hashemi

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arXiv · 2405.08544

On the characterization of Riemannian warped product Einstein metrics

Sayed Mohammad Reza Hashemi

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Abstract

We present a series of results, including local characterizations of $(\lambda,m+n)$-Einstein metrics in the context of warped product Einstein spaces. Using these local properties, we restate already known global characterizations of $(\lambda,m+n)$-Einstein manifolds from He, Petersen and Wylie.

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Sayed Mohammad Reza Hashemi. 2024-05-14. On the characterization of Riemannian warped product Einstein metrics. https://arxiv.org/abs/2405.08544

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