Results 11 to 20 of about 136,220 (232)
Geometric interpretation and visualization of particular geometric concepts at metric spaces study
Journal of Physics, Conference Series, 2022 The paper considers the issues of studying method of geometric properties of metric spaces. These questions arise when students learn the basic concepts of the metric spaces theory.
V. Kuz'mich +3 more
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Bulk metric reconstruction from entanglement data via minimal surface area variations [PDF]
Journal of High Energy PhysicsWe investigate the reconstruction of asymptotically anti-de Sitter (AdS) bulk geometries from boundary entanglement entropy data for ball-shaped entangling regions.
Niko Jokela +3 more
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Polyhedral computational geometry for averaging metric phylogenetic trees [PDF]
Advances in Applied Mathematics, 2012 This paper investigates the computational geometry relevant to calculations of the Frechet mean and variance for probability distributions on the phylogenetic tree space of Billera, Holmes and Vogtmann, using the theory of probability measures on spaces ...
Ezra Miller, M. Owen, J. Provan
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Bicycle paths, elasticae and sub-Riemannian geometry [PDF]
Nonlinearity, 2020 We relate the sub-Riemannian geometry on the group of rigid motions of the plane to ‘bicycling mathematics’. We show that this geometry’s geodesics correspond to bike paths whose front tracks are either non-inflectional Euler elasticae or straight lines,
A. Ardentov +4 more
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Communications in Mathematics, 2018 In this paper, we introduce the Mus-Sasaki metric on the tangent bundle T M as a new natural metric non-rigid on T M. First we investigate the geometry of the Mus-Sasakian metrics and we characterize the sectional curvature and the scalar curvature.
A. Zagane, M. Djaa
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A variational principle in the parametric geometry of numbers [PDF]
Advances in Mathematics, 2019 We extend the parametric geometry of numbers (initiated by Schmidt and Summerer, and deepened by Roy) to Diophantine approximation for systems of $m$ linear forms in $n$ variables, and establish a new connection to the metric theory via a variational ...
Tushar Das +3 more
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From linear to metric functional analysis
Proceedings of the National Academy of Sciences of the United States of America, 2021 Significance Metric geometry is a considerable extension of Riemannian geometry that, in recent decades, has proven very useful. A newer direction described in this article can moreover be viewed as an extension of functional analysis.
A. Karlsson
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Complexity of distances: Reductions of distances between metric and Banach spaces [PDF]
Israel Journal of Mathematics, 2020 We show that all the standard distances from metric geometry and functional analysis, such as Gromov—Hausdorff distance, Banach—Mazur distance, Kadets distance, Lipschitz distance, Net distance, and Hausdorff—Lipschitz distance have all the same ...
Marek C'uth, M. Doucha, O. Kurka
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Geometry of the space of phylogenetic trees with non-identical leaves [PDF]
Advances in Applied MathematicsPhylogenetic trees summarize evolutionary relationships. The Billera-Holmes-Vogtmann (BHV) space for comparing phylogenetic trees has many elegant mathematical properties, but it does not encompass trees with differing leaf sets.
María A. Valdez-Cabrera, A. D. Willis
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Topology and curvature of metric spaces [PDF]
Advances in Mathematics, 2019 We develop a new concept of non-positive curvature for metric spaces, based on intersection patterns of closed balls. In contrast to the synthetic approaches of Alexandrov and Buesemann, our concept also applies to metric spaces that might be discrete ...
Parvaneh Joharinad, Jürgen Jost
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