Results 31 to 40 of about 4,659,666 (289)
Communications in Mathematical Physics, 2014 We construct a discrete form of Hamilton's Ricci flow (RF) equations for a d-dimensional piecewise flat simplicial geometry, S. These new algebraic equations are derived using the discrete formulation of Einstein's theory of general relativity known as Regge calculus.
Warner A. Miller +5 more
openaire +3 more sources
Conformal Interactions Between Matter and Higher‐Spin (Super)Fields
Fortschritte der Physik, Volume 71, Issue 1, January 2023., 2023 Abstract In even spacetime dimensions, the interacting bosonic conformal higher‐spin (CHS) theory can be realised as an induced action. The main ingredient in this definition is the model S[φ,h]$\mathcal {S}[\varphi ,h]$ describing a complex scalar field φ coupled to an infinite set of background CHS fields h, with S[φ,h]$\mathcal {S}[\varphi ,h ...
Sergei M. Kuzenko +2 more
wiley +1 more source
Mass Hierarchies and Quantum Gravity Constraints in DKMM‐refined KKLT
Fortschritte der Physik, Volume 71, Issue 1, January 2023., 2023 Abstract We carefully revisit the mass hierarchies for the KKLT scenario with an uplift term from an anti D3‐brane in a strongly warped throat. First, we derive the bound resulting from what is usually termed “the throat fitting into the bulk” directly from the Klebanov‐Strassler geometry.
Ralph Blumenhagen +2 more
wiley +1 more source
Collapsing Geometry with Ricci Curvature Bounded Below and Ricci Flow Smoothing [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2020 We survey some recent developments in the study of collapsing Riemannian manifolds with Ricci curvature bounded below, especially the locally bounded Ricci covering geometry and the Ricci flow smoothing techniques.
S. Huang, Xiaochun Rong, B. Wang
semanticscholar +1 more source
Evolution for First Eigenvalue of LT,f on an Evolving Riemannian Manifold
Mathematics, 2022 In this paper, evolution formulas for the first non-zero eigenvalue of the operator LT,f on a weighted closed Riemannian manifold along the Ricci flow as well as along the Yamabe flow are formulated.
Apurba Saha +4 more
doaj +1 more source
The Cotton Tensor and the Ricci Flow [PDF]
Geometric Flows, 2017 AbstractWe compute the evolution equation of the Cotton and the Bach tensor under the Ricci flow of a Riemannian manifold, with particular attention to the three dimensional case, and we discuss some applications.
Carlo Mantegazza +2 more
openaire +6 more sources
On the spectrum of the weighted p-Laplacian under the Ricci-harmonic flow
Journal of Inequalities and Applications, 2020 This paper studies the behaviour of the spectrum of the weighted p-Laplacian on a complete Riemannian manifold evolving by the Ricci-harmonic flow. Precisely, the first eigenvalue diverges in a finite time along this flow.
Abimbola Abolarinwa +2 more
doaj +1 more source
Ricci-Bourguignon flow on an open surface [PDF]
Journal of Mahani Mathematical Research, 2023 In this paper, we investigate the normalized Ricci-Bourguignon flow with incomplete initial metric on an open surface. We show that such a flow converges exponentially to a metric with constant Gaussian curvature if the initial metric is suitable.
Shahroud Azami
doaj +1 more source
Ancient solutions to the Ricci flow in dimension $3$ [PDF]
Acta Mathematica, 2018 It is known from work of Perelman that any finite-time singularity of the Ricci flow on a compact three-manifold is modeled on an ancient $\kappa$-solution.
S. Brendle
semanticscholar +1 more source