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Sasaki–Einstein 7-manifolds and Orlik’s conjecture
We study the homology groups of certain 2-connected 7-manifolds admitting quasi-regular Sasaki–Einstein metrics, among them, we found 52 new examples...
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Building New Einstein Spaces by Deforming Symmetric Einstein Spaces
We introduce an approach to determine new pseudo-Riemannian Einstein spaces by deforming symmetric pseudo-Riemannian Einstein spaces. The metrics of...
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Riemannian and Randers Einstein Metrics on SO(n) Which Are Non-naturally Reductive
In this article, we prove that there are at least two new non-naturally reductive Ad(SO( l ) × SO( k ) × SO( k ) × SO( k ))-invariant Einstein metrics on...
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Exact Solutions of the Einstein Equations for an Infinite Slab with Constant Energy Density
We find exact static solutions of the Einstein equations in the spacetime with plane symmetry, where an infinite slab with finite thickness and...
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The Characterizations on a Class of Weakly Weighted Einstein–Finsler Metrics
In this paper, we mainly introduce and study the weakly weighted Einstein–Finsler metrics. First, we show that weakly weighted Einstein–Kropina...
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Local Stability to the Einstein-Euler System in Schwarzschild Space-time
We study the Schwarzschild spacetime solutions to the Einstein-Euler equations. In our analysis, we aim to show local stability under small...
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Einstein-Type Metrics on Almost Kenmotsu Manifolds
This article aims to classify the Einstein-type metrics on Kenmotsu and almost Kenmotsu manifolds. In Kenmotsu case, we find that it is T -Einstein....
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Global Existence of Solutions to the Spherically Symmetric Einstein-Vlasov-Maxwell System
We prove that the initial value problem with small data for the asymptotically flat spherically symmetric Einstein-Vlasov-Maxwell system admits the...
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Einstein Equations: Local Energy, Self-Force, and Fields in General Relativity Domoschool 2019
This volume guides early-career researchers through recent breakthroughs in mathematics and physics as related to general relativity. Chapters are...
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Maxwell-Einstein Metrics on Completions of Certain C* Bundles
In this paper, we prove that for some completions of certain fiber bundles there is a Maxwell-Einstein metric conformally related to any given Kähler...
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Weyl-Einstein structures on conformal solvmanifolds
A conformal Lie group is a conformal manifold ( M , c ) such that M has a Lie group structure and c is the conformal structure defined by a...
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Certain Classification Results on m-quasi Einstein Manifolds
We study a non-trivial radially flat generalized m -quasi Einstein manifold M with finite m and Codazzi Ricci tensor, and obtain an explicit...
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Einstein hypersurfaces in irreducible symmetric spaces
We give a full classification of Einstein hypersurfaces in irreducible Riemannian symmetric spaces of rank greater than 1 (the classification in the...
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Local and global scalar curvature rigidity of Einstein manifolds
An Einstein manifold is called scalar curvature rigid if there are no compactly supported volume-preserving deformations of the metric which increase...
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The probabilistic vs the quantization approach to Kähler–Einstein geometry
In the probabilistic construction of Kähler–Einstein metrics on a complex projective algebraic manifold X —involving random point processes on X —a key...
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Tensor sparse representation via Einstein product
Sparse representation has garnered significant attention across multiple fields, including signal processing, statistics, and machine learning. The...
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Generalized m-Quasi-Einstein manifolds admitting a closed conformal vector field
We study a complete connected generalized m -quasi-Einstein manifold M with finite m , admitting a non-homothetic, non-parallel, complete closed...
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Globally conformally Kähler Einstein metrics on certain holomorphic bundles
The subject of this paper is the explicit momentum construction of complete Einstein metrics by ODE methods. Using the Calabi ansatz, further...