Results 101 to 110 of about 298,518 (247)

A local singularity analysis for the Ricci flow and its applications to Ricci flows with bounded scalar curvature. [PDF]

Calc Var Partial Differ Equ, 2022
Buzano R, Di Matteo G.
europepmc   +1 more source

Scalar curvature flow on S^n to a prescribed sign-changing function [PDF]

arXiv, 2017
In this paper, we consider the problem of prescribing scalar curvature on n-sphere. Assume that the candidate curvature function $f$, which is allowed to change sign, satisfies some kind of Morse index or symmetry condition. By studying the well-known scalar curvature flow, we are able to prove that the flow converges to a metric with the prescribed ...
arxiv  

On the scalar curvature for the noncommutative four torus [PDF]

Journal of Mathematical Physics, 2015
The scalar curvature for noncommutative four tori TΘ4, where their flat geometries are conformally perturbed by a Weyl factor, is computed by making the use of a noncommutative residue that involves integration over the 3-sphere. This method is more convenient since it does not require the rearrangement lemma and it is advantageous as it explains the ...
openaire   +7 more sources

Scalar curvature and holomorphy potentials

Journal of Geometry and Physics, 2012
A holomorphy potential is a complex valued function whose complex gradient, with respect to some K hler metric, is a holomorphic vector field. Given $k$ holomorphic vector fields on a compact complex manifold, form, for a given K hler metric, a product of the following type: a function of the scalar curvature multiplied by functions of the holomorphy
openaire   +3 more sources

S- and T-self-dualities in dilatonic $$f(R)$$ f ( R ) theories

European Physical Journal C: Particles and Fields, 2017
We search for theories, in general spacetime dimensions, that would incorporate a dilaton and higher powers of the scalar Ricci curvature such that they have exact S- or T-self-dualities. The theories we find are free of Ostrogradsky instabilities.
Tonguç Rador
doaj   +1 more source

On concircular geometry and Riemann spaces with constant scalar curvatures [PDF]

, 1951
Syun-ichi Tachibana
openalex   +1 more source

Coordinate-free study of Finsler spaces of $H_{p}$-scalar curvature [PDF]

arXiv, 2018
The aim of the present paper is to provide an \emph{intrinsic} investigation of special Finsler spaces of $H_{p}$-scalar curvature and of $H_{p}\,$-constant curvature. Characterizations of such spaces are shown. Sufficient condition for Finsler space of $H_{p}$-scalar curvature to be of perpendicular scalar curvature is investigated.
arxiv  

Rigidity of hypersurfaces of constant scalar curvature [PDF]

, 1970
Carlos Edgard Harle
openalex   +1 more source

Colliding scalar pulses in the Einstein-Gauss-Bonnet gravity

EPJ Web of Conferences, 2018
We numerically investigated how the nonlinear dynamics depends on the dimensionality and on the higher-order curvature corrections in the form of Gauss-Bonnet (GB) terms, with a model of colliding scalar pulses in plane-symmetric space-time.
Shinkai Hisaaki, Torii Takashi
doaj   +1 more source

Effective Gravitational “Constant” in Scalar-(Curvature)Tensor and Scalar-Torsion Gravities

Universe, 2017
In theories where a scalar field couples nonminimally to gravity, the effective gravitational “constant” becomes dependent on the value of the scalar field.
Laur Järv
doaj   +1 more source