Results 71 to 80 of about 156,624 (168)
Cohomogeneity-one quasi-Einstein metrics [PDF]
Journal of Mathematical Analysis and Applications, 2019 Let $G/H$ be a connected, simply connected homogeneous space of a compact Lie group $G$. We study $G$-invariant quasi-Einstein metrics on the cohomogeneity one manifold $G/H\times (0,1)$ imposing the so-called monotypic condition on $G/H$. We obtain estimates on the rate of blow-up for these metrics near a singularity under a mild assumption on $G/H ...
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Einstein metrics and Mostow rigidity [PDF]
Mathematical Research Letters, 1995 Using the new diffeomorphism invariants of Seiberg and Witten, a uniqueness theorem is proved for Einstein metrics on compact quotients of irreducible 4-dimensional symmetric spaces of non-compact type. The proof also yields a Riemannian version of the Miyaoka-Yau inequality.
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On the Weyl anomaly of 4D conformal higher spins: a holographic approach
Journal of High Energy Physics, 2017 We present a first attempt to derive the full (type-A and type-B) Weyl anomaly of four dimensional conformal higher spin (CHS) fields in a holographic way.
S. Acevedo +3 more
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On equivalence of equations solutions of gravity field and homogenous inertia field
, 2018 The metric of a homogenously accelerated system found by Harry Lass is a solution of the Einstein s equation. The metric of an isotropic homogenous field must satisfy the new gravitational equation.Comment: 5 pages, 1 ...
Morozov, V. B.
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Entropies, Volumes, and Einstein Metrics [PDF]
, 2011 We survey the definitions and some important properties of several asymptotic invariants of smooth manifolds, and discuss some open questions related to them. We prove that the (non-)vanishing of the minimal volume is a differentiable property, which is not invariant under homeomorphisms.
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Features of the partition function of a Λ > 0 universe
Journal of High Energy PhysicsWe consider properties of the gravitational path integral, $${\mathcal{Z}}_{\text{grav}}$$ , of a four-dimensional gravitational effective field theory with Λ > 0 at the quantum level.
Dionysios Anninos +3 more
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Left-invariant Einstein metrics on $S^3 \times S^3$
, 2018 The classification of homogeneous compact Einstein manifolds in dimension six is an open problem. We consider the remaining open case, namely left-invariant Einstein metrics $g$ on $G = \mathrm{SU}(2) \times \mathrm{SU}(2) = S^3 \times S^3$.
Belgun, Florin +3 more
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Einstein Gravity, Lagrange-Finsler Geometry, and Nonsymmetric Metrics
Symmetry, Integrability and Geometry: Methods and Applications, 2008 We formulate an approach to the geometry of Riemann-Cartan spaces provided with nonholonomic distributions defined by generic off-diagonal and nonsymmetric metrics inducing effective nonlinear and affine connections.
Sergiu I. Vacaru
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The rigid Horowitz-Myers conjecture
, 2017 The "new positive energy conjecture" Horowitz and Myers (1999) probes a possible nonsupersymmetric AdS/CFT correspondence. We consider a version formulated for complete, asymptotically Poincar\'e-Einstein Riemannian metrics $(M,g)$ with bounded scalar ...
Woolgar, Eric
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Four-Manifolds without Einstein Metrics [PDF]
Mathematical Research Letters, 1996 A smooth Riemannian metric \(g\) is said to be Einstein if its Ricci curvature \(r\) is a constant multiple of the metric, i.e. \(r=\lambda g\). It is known that not every compact oriented 4-manifold \(M\) admits such metrics. A necessary condition for the existence of an Einstein metric on \(M\) is that the Hitchin-Thorpe inequality \(2\chi(M)\geq 3 ...
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