Results 11 to 20 of about 41,474 (267)
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 without topology as a new conception of geometry
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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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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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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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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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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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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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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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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On some class of functional-differential equations
Vestnik Samarskogo Gosudarstvennogo Tehničeskogo Universiteta. Seriâ: Fiziko-Matematičeskie Nauki, 2012 {In this paper we consider special functional-differential equations arising in geometry for the metric functions. We prove a theorem on the form of the metric functions.
V. A. Kyrov
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