Results 11 to 20 of about 358,289 (300)
Scalar Curvature and Q-Curvature of Random Metrics [PDF]
The Journal of Geometric Analysis, 2010 We study Gauss curvature for random Riemannian metrics on a compact surface, lying in a fixed conformal class; our questions are motivated by comparison geometry. Next, analogous questions are considered for the scalar curvature in dimension $n>2$, and for the $Q$-curvature of random Riemannian metrics.
Canzani, Yaiza +2 more
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Horizon curvature and spacetime structure influences on black hole scalarization
European Physical Journal C: Particles and Fields, 2021 Black hole spontaneous scalarization has been attracting more and more attention as it circumvents the well-known no-hair theorems. In this work, we study the scalarization in Einstein–scalar-Gauss–Bonnet theory with a probe scalar field in a black hole ...
Hong Guo +3 more
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Mean Curvature in the Light of Scalar Curvature [PDF]
Annales de l'Institut Fourier, 2020 We formulate several conjectures on mean convex domains in the Euclidean spaces, as well as in more general spaces with lower bounds on their scalar curvatures, and prove a few theorems motivating these ...
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ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE [PDF]
Journal of the London Mathematical Society, 2003 23 ...
Chen, Xinyue +2 more
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Volume and macroscopic scalar curvature [PDF]
, 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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On the scalar curvature of Einstein manifolds [PDF]
Mathematical Research Letters, 1997 LaTeX.
Catanese, Fabrizio, LeBrun, Claude
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On isotropic Berwald scalar curvature [PDF]
, 2022 In this short paper, we establish a closer relation between the Berwald scalar curvature and the $S$-curvature. In fact, we prove that a Finsler metric has isotropic Berwald scalar curvature if and only if it has weakly isotropic $S$-curvature.
Li, Ming
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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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Curvature-Dimension Condition Meets Gromov's n-Volumic Scalar Curvature [PDF]
, 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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On Gromov’s scalar curvature conjecture [PDF]
Proceedings of the American Mathematical Society, 2009 We prove the Gromov conjecture on the macroscopic dimension of the universal covering of a closed spin manifold with a positive scalar curvature under the following assumptions on the fundamental group. 0.1 0.1
Bolotov, Dmitry, Dranishnikov, Alexander
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