On the geometry of Einstein-type manifolds with some structural conditions
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.
- Publication:
-
arXiv e-prints
- Pub Date:
- March 2022
- DOI:
- 10.48550/arXiv.2203.16146
- arXiv:
- arXiv:2203.16146
- Bibcode:
- 2022arXiv220316146Y
- Keywords:
-
- Mathematics - Differential Geometry;
- 53C25;
- 53C20;
- 53C43