Results 81 to 90 of about 298,518 (247)
Memory effects in Kundt wave spacetimes
Physics Letters B, 2020 Memory effects in the exact Kundt wave spacetimes are shown to arise in the behaviour of geodesics in such spacetimes. The types of Kundt spacetimes we consider here are direct products of the form H2×M(1,1) and S2×M(1,1).
Indranil Chakraborty, Sayan Kar
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Positive scalar curvature with symmetry
Journal für die reine und angewandte Mathematik (Crelles Journal), 2008 36 pages, 1 figure, minor changes; to appear in J.
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On the structure of linearization of the scalar curvature [PDF]
Tohoku Mathematical Journal, 2015 For a compact $n$-dimensional manifold a critical point metric of the total scalar curvature functional satisfies the critical point equation (1) below, if the functional is restricted to the space of constant scalar curvature metrics of unit volume. The right-hand side in this equation is nothing but the adjoint operator of the linearization of the ...
Yun, Gabjin +2 more
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Kropina Metrics with Isotropic Scalar Curvature via Navigation Data
MathematicsThrough an interesting physical perspective and a certain contraction of the Ricci curvature tensor in Finsler geometry, Akbar-Zadeh introduced the concept of scalar curvature for the Finsler metric.
Yongling Ma +2 more
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Entire scalar curvature flow and hypersurfaces of constant scalar curvature in Minkowski space [PDF]
arXiv, 2008 We prove existence in the Minkowski space of entire spacelike hypersurfaces with constant negative scalar curvature and given set of lightlike directions at infinity; we also construct the entire scalar curvature flow with prescribed set of lightlike directions at infinity, and prove that the flow converges to a spacelike hypersurface with constant ...
arxiv
Generalized disformal invariance of cosmological perturbations with second-order field derivatives
Physics Letters B, 2021 We investigate how the comoving curvature and tensor perturbations are transformed under the generalized disformal transformation with the second-order covariant derivatives of the scalar field, where the free functions depend on the fundamental elements
Masato Minamitsuji
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Critical metrics of the $L^2$-norm of the scalar curvature [PDF]
Proc. Amer. Math. Soc.,142 (2014), 3981-3986, 2012 In this paper we investigate complete critical metrics of the $L^{2}$-norm of the scalar curvature. We prove that any complete critical metric with positive scalar curvature has constant scalar curvature and we characterize critical metrics with nonnegative scalar curvature in dimension three and four.
arxiv
Positive scalar curvature on foliations [PDF]
Annals of Mathematics, 2017 We generalize classical theorems due to Lichnerowicz and Hitchin on the existence of Riemannian metrics of positive scalar curvature on spin manifolds to the case of foliated spin manifolds. As a consequence, we show that there is no foliation of positive leafwise scalar curvature on any torus, which generalizes the famous theorem of Schoen-Yau and ...
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On Sprays of Scalar Curvature and Metrizability
The Journal of Geometric Analysis, 2023 20 ...
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Mean Curvature Driven Ricci Flow [PDF]
arXiv, 2009 We obtain the evolution equations for the Riemann tensor, the Ricci tensor and the scalar curvature induced by the mean curvature flow. The evolution for the scalar curvature is similar to the Ricci flow, however, negative, rather than positive, curvature is preserved. Our results are valid in any dimension.
arxiv