Results 31 to 40 of about 298,518 (247)

Scalar Curvature of a Causal Set [PDF]

open access: yesPhysical 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
openaire   +3 more sources

ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE [PDF]

open access: yesJournal of the London Mathematical Society, 2003
23 ...
Xiaohuan Mo, Xinyue Chen, Zhongmin Shen
openaire   +3 more sources

Properties of Berwald scalar curvature [PDF]

open access: yesFrontiers of Mathematics in China, 2020
published on Front.
Ming Li, Lihong Zhang
openaire   +3 more sources

On the Curvature of Monotone Metrics and a Conjecture Concerning the Kubo-Mori Metric [PDF]

open access: yes, 1999
It is the aim of this article to determine curvature quantities of an arbitrary Riemannian monotone metric on the space of positive matrices resp. nonsingular density matrices.
Dittmann, J.
core   +2 more sources

Heterotic reduction of Courant algebroid connections and Einstein–Hilbert actions

open access: yesNuclear Physics B, 2016
We discuss Levi-Civita connections on Courant algebroids. We define an appropriate generalization of the curvature tensor and compute the corresponding scalar curvatures in the exact and heterotic case, leading to generalized (bosonic) Einstein–Hilbert ...
Branislav Jurčo, Jan Vysoký
doaj   +1 more source

Non-negative versus positive scalar curvature

open access: yes, 2020
We show that results about spaces or moduli spaces of positive scalar curvature metrics proved using index theory can typically be extended to non-negative scalar curvature metrics.
Schick, Thomas, Wraith, David J.
core   +1 more source

On the transverse Scalar Curvature of a Compact Sasaki Manifold

open access: yesComplex Manifolds, 2014
We show that the standard picture regarding the notion of stability of constant scalar curvature metrics in Kähler geometry described by S.K. Donaldson [10, 11], which involves the geometry of infinitedimensional groups and spaces, can be applied to the ...
He Weiyong
doaj   +1 more source

Metric Inequalities with Scalar Curvature [PDF]

open access: yesGeometric and Functional Analysis, 2018
We establish several inequalities for manifolds with positive scalar curvature and, more generally, for the scalar curvature bounded from below, in the spirit of the classical bound on the distances between conjugates points in surfaces with positive sectional curvature.
Misha Gromov, Misha Gromov
openaire   +3 more sources

Two dimensional kinematic surfaces with constant scalar curvature in Lorentz-Minkowski 7-space

open access: yesNonlinear Engineering, 2017
In this paper we analyzed the problem of studying locally the scalar curvature S of the two dimensional kinematic surfaces obtained by the homothetic motion of a helix in Lorentz-Minkowski space E17 $\text{E}^7_1$ .
Solouma E. M., Wageeda M. M.
doaj   +1 more source

Scalar curvature and projective compactness

open access: yesJournal of Geometry and Physics, 2015
Final version to be published in J. Geom. Phys. Includes minor typo corrections and a new summarising corollary.
Andreas Cap, A. Rod Gover
openaire   +4 more sources

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