Results 71 to 80 of about 409,873 (273)
The Ricci Curvature on Simplicial Complexes
Theory and Applications of Graphs, 2023 We define the Ricci curvature on simplicial complexes by modifying the definition of the Ricci curvature on graphs, and we prove the upper and lower bounds of the Ricci curvature. These properties are generalizations of previous studies. Moreover, we obtain an estimate of the eigenvalues of the Laplacian on simplicial complexes using the Ricci ...
openaire +4 more sources
The Hall Effects of Vortex Light in Optical Materials
Advanced Photonics Research, EarlyView.This article models optical materials as curved spacetime to investigate light propagation, finding that the deflection angle for light with spin σ and intrinsic orbital angular momentum ℓ follows ϑ ∝ 2σ + ℓ$\vartheta \propto 2 \text{&sgr; } + ℓ$.
Wei‐Si Qiu +3 more
wiley +1 more source
A New Transport Distance and Its Associated Ricci Curvature of Hypergraphs
Analysis and Geometry in Metric Spaces, 2022 The coarse Ricci curvature of graphs introduced by Ollivier as well as its modification by Lin–Lu– Yau have been studied from various aspects. In this paper, we propose a new transport distance appropriate for hypergraphs and study a generalization of ...
Akamatsu Tomoya
doaj +1 more source
Ricci curvature for parametric statistics via optimal transport [PDF]
Information Geometry, 2018 We define the notion of a Ricci curvature lower bound for parametrized statistical models. Following the seminal ideas of Lott–Sturm–Villani, we define this notion based on the geodesic convexity of the Kullback–Leibler divergence in a Wasserstein ...
Wuchen Li, Guido Montúfar
semanticscholar +1 more source
Advanced Science, EarlyView.This work shows, for the first time, that the stereocilia membrane in cochlear hair cells is dynamically regulated by the mechanotransduction channel to impact the membrane mechanical properties. This work provides direct evidence that the opening and closing associated with the MET channel is regulating the membrane viscosity suggesting that the MET ...
Shefin Sam George, Anthony J. Ricci
wiley +1 more source
An axially symmetric spacetime with causality violation in Ricci-inverse gravity
European Physical Journal C: Particles and Fields, 2023 In this paper, Ricci-inverse gravity is investigated. It is an alternative theory of gravity that introduces into the Einstein–Hilbert action an anti-curvature scalar that is obtained from the anti-curvature tensor which is the inverse of the Ricci ...
J. C. R. de Souza, A. F. Santos
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Kropina Metrics with Isotropic Scalar Curvature
Axioms, 2023 In this paper, we study Kropina metrics with isotropic scalar curvature. First, we obtain the expressions of Ricci curvature tensor and scalar curvature. Then, we characterize the Kropina metrics with isotropic scalar curvature on by tensor analysis.
Liulin Liu, Xiaoling Zhang, Lili Zhao
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Geometric realizations of generalized algebraic curvature operators
, 2008 We study the 8 natural GL equivariant geometric realization questions for the space of generalized algebraic curvature tensors. All but one of them is solvable; a non-zero projectively flat Ricci antisymmetric generalized algebraic curvature is not ...
Blažić N. +11 more
core +1 more source
Ricci curvature in dimension 2 [PDF]
Journal of the European Mathematical Society (Print), 2018 We prove that in two dimensions the synthetic notions of lower bounds on sectional and on Ricci curvature coincide.
A. Lytchak, Stephan Stadler
semanticscholar +1 more source
Polymer Composites, EarlyView.Production process of amine‐modified silica aerogel reinforced aramid/epoxy composite (EAFS). ABSTRACT Due to its high pore size and low density, amine‐modified silica aerogel (XSA) is an excellent candidate for the secondary reinforcement material of polymer matrix composites.
Hasan Yavuz Ünal +4 more
wiley +1 more source