Results 21 to 30 of about 1,302,221 (298)
COARSE AND FINE GEOMETRY OF THE THURSTON METRIC
Forum of Mathematics, Sigma, 2020 We study the geometry of the Thurston metric on the Teichmüller space of hyperbolic structures on a surface $S$. Some of our results on the coarse geometry of this metric apply to arbitrary surfaces $S$ of finite type; however, we focus particular ...
DAVID DUMAS +3 more
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Geometry of Mus-Sasaki metric [PDF]
, 2018 summary:In this paper, we introduce the Mus-Sasaki metric on the tangent bundle $TM$ as a new natural metric non-rigid on $TM$. First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar ...
Djaa, Mustapha, Zagane, Abderrahim
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On the Hausdorff Dimension of CAT(κ) Surfaces
Analysis and Geometry in Metric Spaces, 2016 We prove that a closed surface with a CAT(κ) metric has Hausdorff dimension = 2, and that there are uniform upper and lower bounds on the two-dimensional Hausdorff measure of small metric balls.
Constantine David, Lafont Jean-François
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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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Dust content solutions for the Alcubierre warp drive spacetime
European Physical Journal C: Particles and Fields, 2020 The Alcubierre metric is a spacetime geometry where a massive particle inside a spacetime distortion, called warp bubble, is able to travel at velocities arbitrarily higher than the velocity of light, a feature known as the warp drive.
Osvaldo L. Santos-Pereira +2 more
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Tangent Lines and Lipschitz Differentiability Spaces
Analysis and Geometry in Metric Spaces, 2016 We study the existence of tangent lines, i.e. subsets of the tangent space isometric to the real line, in tangent spaces of metric spaces.We first revisit the almost everywhere metric differentiability of Lipschitz continuous curves.
Cavalletti Fabio, Rajala Tapio
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F-Geometry and Amari’s α-Geometry on a Statistical Manifold
Entropy, 2014 In this paper, we introduce a geometry called F-geometry on a statistical manifold S using an embedding F of S into the space RX of random variables. Amari’s α-geometry is a special case of F-geometry.
Harsha K. V. +1 more
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A Dually Flat Embedding of Spacetime
Entropy, 2023 A model of spacetime is presented. It has an extension to five dimensions, and in five dimensions the geometry is the dual of the Euclidean geometry w.r.t. an arbitrary positive-definite metric.
Jan Naudts
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A commutative noncommutative fractal geometry [PDF]
, 2010 In this thesis examples of spectral triples, which represent fractal sets, are examined and new insights into their noncommutative geometries are obtained.
Samuel, Tony; id_orcid +7 more
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Semi-Invariant Riemannian Submersions with Semi-Symmetric Non-Metric Connection
Journal of New Theory, 2021 In this paper, we investigate semi-invariant Riemannian submersion from a Kaehler manifold with semi-symmetric non-metric connection to a Riemannian manifold. We study the geometry of foliations with semi-symmetric non-metric connection.
Ramazan Sarı
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