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Geometry without topology as a new conception of geometry [PDF]
International Journal of Mathematics and Mathematical Sciences, 2002 A geometric conception is a method of a geometry construction. The Riemannian geometric conception and a new T-geometric one are considered. T-geometry is built only on the basis of information included in the metric (distance between two points).
Yuri A. Rylov
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Information geometry in quantum field theory: lessons from simple examples [PDF]
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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Scale Transformations in Metric-Affine Geometry
Universe, 2019 This article presents an exhaustive classification of metric-affine theories according to their scale symmetries. First it is clarified that there are three relevant definitions of a scale transformation.
Damianos Iosifidis, Tomi Koivisto
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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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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 +2 more
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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 +3 more
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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 +3 more
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Double Metric, Generalized Metric and $\alpha'$-Geometry [PDF]
, 2015 We relate the unconstrained `double metric' of the `$\alpha'$-geometry' formulation of double field theory to the constrained generalized metric encoding the spacetime metric and b-field.
Hohm, Olaf, Zwiebach, Barton
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