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

Yun, Gabjin; Hwang, Seungsu

doi:10.1016/j.jmaa.2022.126527

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

Yun, Gabjin;
Hwang, Seungsu

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2

초록

In this paper, we investigate the geometry of an 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. © 2022 Elsevier Inc.

키워드

Einstein-type equation; Einstein-type manifolds; Locally conformally flat; Warped product; SCALAR CURVATURE; 3-MANIFOLDS; EQUATION

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

저자: Yun, Gabjin; Hwang, Seungsu

DOI: 10.1016/j.jmaa.2022.126527

발행일: 2022-12

유형: Article

저널명: Journal of Mathematical Analysis and Applications

권: 516

호: 2