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Non-degeneracy of Poincaré–Einstein Four-Manifolds Satisfying a Chiral Curvature Inequality
A Poincaré–Einstein metric g is called non-degenerate if there are no non-zero infinitesimal Einstein deformations of g , in Bianchi gauge, that lie...
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Pseudo-Kähler and pseudo-Sasaki structures on Einstein solvmanifolds
The aim of this paper is to construct left-invariant Einstein pseudo-Riemannian Sasaki metrics on solvable Lie groups. We consider the class of
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Einstein-Like Metrics on Three-Dimensional Non-unimodular Lorentzian Lie Groups
We revise the classification of Einstein-like left-invariant metrics on three-dimensional non-unimodular Lie groups. Because of the more general form...
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Periodic solutions to Navier-Stokes equations on non-compact Einstein manifolds with negative curvature
Consider the Navier-Stokes Equations (NSE) for viscous incompressible fluid flows on a non-compact, smooth, simply-connected and complete Einstein...
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On nearly vacuum static equations in almost coKähler manifolds with applications to spacetimes
In the present article, we extend the notion of vacuum static equations on almost coKähler manifolds and rename them as nearly vacuum static...
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Coindex and Rigidity of Einstein Metrics on Homogeneous Gray Manifolds
Any 6-dimensional strict nearly Kähler manifold is Einstein with positive scalar curvature. We compute the coindex of the metric with respect to the...
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Limiting profiles of two-component attractive Bose-Einstein condensates passing an obstacle
This paper is concerned with ground states of two-component trapped Bose-Einstein condensates passing an obstacle in ℝ 2 , where the intraspecies...
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Asymptotic expansions of complete Kähler-Einstein metrics with finite volume on quasi-projective manifolds
We give an elementary proof to the asymptotic expansion formula of Rochon and Zhang (2012) for the unique complete Kähler-Einstein metric of Cheng...
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Characterization of Einstein Poisson warped product space
In this article, we study the problem of the existence and nonexistence of war** function associated with constant scalar curvature on...
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Stability and Instability of Schwarzschild-AdS for the Nonlinear Einstein-Klein-Gordon System
In this paper, we study the global behavior of solutions to the spherically symmetric(it means that the problem is 2+2 framework)coupled...
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On a Class of Quasi-Einstein Finsler Metrics
In this paper, we introduce the notion of quasi-Einstein Finsler metric, which is a natural generalization of quasi-Einstein metric in Riemannian...
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The Einstein Classical Program, the Wheeler-Feynman Reabsorption and Kirchhoff’s Law
The Einstein “Classical Program” consists in trying to recover Quantum Mechanics (undoubtedly the “good” theory) within a “realistic” theory. Here we...
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Some Connections Between Stochastic Mechanics, Optimal Control, and Nonlinear Schrödinger Equations
We first recall how the quantum mechanics of N particles is related, in the limit of large N, to certain nonlinear Schrödinger equations, used also...
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Derivation of the Equations of Electrodynamics and Gravity from the Principle of Least Action
AbstractIn classical works, field equations are given without deriving right-hand sides. In this paper, the right-hand sides of the Maxwell and...
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On Derivation of Equations of Electrodynamics and Gravitation from the Principle of Least Action, the Hamilton–Jacobi Method, and Cosmological Solutions
AbstractIn classical texts, equations for fields are proposed without derivation of right-hand sides. Below, the right-hand sides of the Maxwell and...
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Conformal Vector Fields and Their Applications to Einstein-Type Manifolds
In this paper, we investigated the properties of conformal vector fields defined on a Riemannian manifold. Given a conformal vector field X , we can...