Results 1 to 10 of about 41,355 (148)

Weighted Ricci curvature in Riemann-Finsler geometry [PDF]

AUT Journal of Mathematics and Computing, 2021
Ricci curvature is one of the important geometric quantities in Riemann-Finsler geometry. Together with the $S$-curvature, one can define a weighted Ricci curvature for a pair of Finsler metric and a volume form on a manifold.
Zhongmin Shen
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General teleparallel metrical geometries

International Journal of Geometric Methods in Modern Physics, 2023
In the conventional formulation of general relativity, gravity is represented by the metric curvature of Riemannian geometry. There are also alternative formulations in flat affine geometries, wherein the gravitational dynamics is instead described by torsion and nonmetricity.
Adak, Muzaffer, Dereli, Tekin, Koivisto, Tomi S., Pala, Çağlar   +3 more
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A spectral metric for collider geometry

Journal of High Energy Physics, 2023
By quantifying the distance between two collider events, one can triangulate a metric space and reframe collider data analysis as computational geometry.
Andrew J. Larkoski, Jesse Thaler
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Information geometry and holographic correlators

Journal of High Energy Physics, 2022
We explore perturbative corrections to quantum information geometry. In particular, we study a Bures information metric naturally associated with the correlation functions of a conformal field theory.
Hardik Bohra, Ashish Kakkar, Allic Sivaramakrishnan   +2 more
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How the latent geometry of a biological network provides information on its dynamics: the case of the gene network of chronic myeloid leukaemia

Frontiers in Cell and Developmental Biology, 2023
Background: The concept of the latent geometry of a network that can be represented as a graph has emerged from the classrooms of mathematicians and theoretical physicists to become an indispensable tool for determining the structural and dynamic ...
Paola Lecca, Giulia Lombardi, Roberta Valeria Latorre, Claudio Sorio   +3 more
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Information geometry in quantum field theory: lessons from simple examples

SciPost Physics, 2020
Motivated by the increasing connections between information theory and high-energy physics, particularly in the context of the AdS/CFT correspondence, we explore the information geometry associated to a variety of simple systems. By studying their Fisher
Johanna Erdmenger, Kevin T. Grosvenor, Ro Jefferson
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Information geometry encoded in bulk geometry

Journal of High Energy Physics, 2020
We study how information geometry is described by bulk geometry in the gauge/gravity correspondence. We consider a quantum information metric that measures the distance between the ground states of a CFT and a theory obtained by perturbing the CFT.
Asato Tsuchiya, Kazushi Yamashiro
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The Geometry of Invariant Submanifolds of a (κ,μ)-Paracontact Metric Manifold

International Journal of Pioneering Technology and Engineering, 2022
In this article, we consider an invariant submanifold of a -paracontact metric manifold. We research the conditions   and  for an invariant submanifold of a paracontact metric manifold.
Pakize Uygun, Süleyman Dirik, Mehmet Atçeken, Tugba Mert   +3 more
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The Gromov–Wasserstein Distance: A Brief Overview

Axioms, 2014
We recall the construction of the Gromov–Wasserstein distance and concentrate on quantitative aspects of the definition.
Facundo Mémoli
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Algebroids, AKSZ Constructions and Doubled Geometry

Complex Manifolds, 2021
We give a self-contained survey of some approaches aimed at a global description of the geometry underlying double field theory. After reviewing the geometry of Courant algebroids and their incarnations in the AKSZ construction, we develop the theory of ...
Marotta Vincenzo Emilio, Szabo Richard J.   +1 more
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