Results 31 to 40 of about 298,518 (247)
Scalar Curvature of a Causal Set [PDF]
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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ON THE FLAG CURVATURE OF FINSLER METRICS OF SCALAR CURVATURE [PDF]
23 ...
Xiaohuan Mo, Xinyue Chen, Zhongmin Shen
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Properties of Berwald scalar curvature [PDF]
published on Front.
Ming Li, Lihong Zhang
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On the Curvature of Monotone Metrics and a Conjecture Concerning the Kubo-Mori Metric [PDF]
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
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
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
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]
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
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Two dimensional kinematic surfaces with constant scalar curvature in Lorentz-Minkowski 7-space
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
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