Vanishing conditions on Weyl tensor for Einstein-type manifolds
From MaRDI portal
Publication:2237251
DOI10.2140/pjm.2021.314.99zbMath1486.53046arXiv1904.12384OpenAlexW3208528868MaRDI QIDQ2237251
Publication date: 27 October 2021
Published in: Pacific Journal of Mathematics (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1904.12384
Special Riemannian manifolds (Einstein, Sasakian, etc.) (53C25) Global Riemannian geometry, including pinching (53C20) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)
Related Items (8)
On the geometry of Einstein-type manifolds with some structural conditions ⋮ An analysis of symmetry groups of generalized $m$-quasi-Einstein manifolds ⋮ On the geometry of electrovacuum spaces in higher dimensions ⋮ Some characterizations of compact Einstein-type manifolds ⋮ On Einstein-type almost Kenmotsu manifolds ⋮ Einstein-type metrics on almost Kenmotsu manifolds ⋮ Unnamed Item ⋮ Unnamed Item
Cites Work
- A note on static spaces and related problems
- Generalized quasi-Einstein manifolds with harmonic Weyl tensor
- Total scalar curvature and harmonic curvature
- Nonexistence of multiple black holes in static space-times and weakly harmonic curvature
- On static three-manifolds with positive scalar curvature
- Conformal Ricci solitons and related integrability conditions
- Reduction of the \(n\)-dimensional static vacuum Einstein equation and generalized Schwarzschild solutions
- On Bach-flat gradient shrinking Ricci solitons
- On the structure of gradient Yamabe solitons
- On critical point equation of compact manifolds with zero radial Weyl curvature
- Static perfect fluid spacetime with half conformally flat spatial factor
- Gradient Ricci solitons with vanishing conditions on Weyl
- On the geometry of gradient Einstein-type manifolds
- Vacuum static spaces with vanishing of complete divergence of Weyl tensor
- A Weitzenböck formula for canonical metrics on four-manifolds
- Einstein and conformally flat critical metrics of the volume functional
- A note on Fischer-Marsden’s conjecture
- On locally conformally flat gradient steady Ricci solitons
- On the structure of solutions to the static vacuum Einstein equations
This page was built for publication: Vanishing conditions on Weyl tensor for Einstein-type manifolds
