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arXiv · 2203.16146

On the geometry of Einstein-type manifolds with some structural conditions

Gabjin Yun·Seungsu Hwang
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Abstract

In this paper, we investigate the geometry of Einstein-type equation on a Riemannian manifold, unifying various particular geometric structures recently studied in the literature, such as critical point equation and vacuum static equation. We show various rigidity results of Einstein-type manifolds under assumptions of several curvature conditions.

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Gabjin Yun, Seungsu Hwang. 2022-03-30. On the geometry of Einstein-type manifolds with some structural conditions. https://arxiv.org/abs/2203.16146

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