Results 31 to 40 of about 13,851 (306)
Scalar Curvature of a Causal Set [PDF]
Physical Review Letters, 2010 A one parameter family of retarded linear operators on scalar fields on causal sets is introduced. When the causal set is well approximated by 4 dimensional Minkowski spacetime, the operators are Lorentz invariant but nonlocal, are parametrized by the scale of the nonlocality, and approximate the continuum scalar D'Alembertian square when acting on ...
Benincasa, Dionigi Maria Teofilo +1 more
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Non-linear isocurvature perturbations and non-Gaussianities [PDF]
, 2008 24 pagesWe study non-linear primordial adiabatic and isocurvature perturbations and their non-Gaussianity. After giving a general formulation in the context of an extended $\delta N$ formalism, we analyse in detail two illustrative examples. The first is
Vernizzi, F. +4 more
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On the scalar curvature of Einstein manifolds [PDF]
Mathematical Research Letters, 1997 LaTeX.
Catanese, Fabrizio, LeBrun, Claude
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Geometric Inequalities for a Submanifold Equipped with Distributions
Mathematics, 2022 The article introduces invariants of a Riemannian manifold related to the mutual curvature of several pairwise orthogonal subspaces of a tangent bundle. In the case of one-dimensional subspaces, this curvature is equal to half the scalar curvature of the
Vladimir Rovenski
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Volume and macroscopic scalar curvature
, 2022 We prove the macroscopic cousins of three conjectures: (1) a conjectural bound of the simplicial volume of a Riemannian manifold in the presence of a lower scalar curvature bound, (2) the conjecture that rationally essential manifolds do not admit ...
Sauer, Roman, Braun, Sabine
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The prescribed Chern scalar curvature problem [PDF]
, 2022 The paper is an attempt to resolve the prescribed Chern scalar curvature problem. We look for solutions within the conformal class of a fixed Hermitian metric.
Fusi, Elia, Fusi, E.
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Erratum to: Total Scalar Curvature and Harmonic Curvature
Taiwanese Journal of Mathematics, 2016 It has been realized that the proof of Theorem 5.1 in Section 5 is imcomplete. It was pointed out by Professor Jongsu Kim and Israel Evangelista.
Yun, Gabjin +2 more
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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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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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Curvature-Dimension Condition Meets Gromov's n-Volumic Scalar Curvature
, 2021 We study the properties of the n-volumic scalar curvature in this note. Lott-Sturm-Villani's curvature-dimension condition CD(κ, ) was shown to imply Gromov's -volumic scalar curvature ≥ κ under an additional -dimensional condition, and we show the ...
Deng, Jialong
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