Results 31 to 40 of about 300,261 (100)
On the Differential Geometry of Coframe Bundle with Cheeger-Gromoll Metric
International Electronic Journal of Geometry, 2022 In this paper we introduce the Cheeger-Gromoll type metric on the coframe bundle of a Riemannian manifold and investigate the Levi-Civita connection, curvature tensor, sectional curvature and geodesics of coframe bundle with this metric.
Habil Fattayev
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A Generalized Hausdorff Distance Based Quality Metric for Point Cloud Geometry [PDF]
International Workshop on Quality of Multimedia Experience, 2020 Reliable quality assessment of decoded point cloud geometry is essential to evaluate the compression performance of emerging point cloud coding solutions and guarantee some target quality of experience.
Alireza Javaheri +3 more
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Asymptotic Geometry of the Hitchin Metric [PDF]
Communications in Mathematical Physics, 2017 We study the asymptotics of the natural L2 metric on the Hitchin moduli space with group $${G = \mathrm{SU}(2)}$$G=SU(2). Our main result, which addresses a detailed conjectural picture made by Gaiotto et al.
R. Mazzeo +3 more
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Thermodynamic metric geometry of the two-state ST2 model for supercooled water [PDF]
Journal of Chemical Physics, 2019 Liquid water has anomalous liquid properties, such as its density maximum at 4\degree C. An attempt at theoretical explanation proposes a liquid-liquid phase transition line in the supercooled liquid state, with coexisting low-density (LDL) and high ...
P. Mausbach, H. May, George Ruppeiner
semanticscholar +1 more source
Metric geometry of infinite-dimensional Lie groups and their homogeneous spaces [PDF]
Forum mathematicum, 2018 We study the geometry of Lie groups G with a continuous Finsler metric, in presence of a subgroup K such that the metric is right-invariant for the action of K.
G. Larotonda
semanticscholar +1 more source
Lp Metric Geometry of Big and Nef Cohomology Classes [PDF]
Acta Mathematica Vietnamica, 2018 Let (X,ω) be a compact Kähler manifold of dimension n, and let 𝜃 be a closed smooth real (1,1)-form representing a big and nef cohomology class. We introduce a metric dp,p ≥ 1, on the finite energy space Ep(X,𝜃)\documentclass[12pt]{minimal} \usepackage ...
E. Di Nezza, Chinh H. Lu
semanticscholar +1 more source
Volumes of polytopes in spaces of constant curvature
, 2013 We overview the volume calculations for polyhedra in Euclidean, spherical and hyperbolic spaces. We prove the Sforza formula for the volume of an arbitrary tetrahedron in $H^3$ and $S^3$.
A. Cauchy +44 more
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Combinatorial problems of (quasi-)crystallography
, 2002 Several combinatorial problems of (quasi-)crystallography are reviewed with special emphasis on a unified approach, valid for both crystals and quasicrystals. In particular, we consider planar sublattices, similarity sublattices, coincidence sublattices,
Baake, Michael, Grimm, Uwe
core +3 more sources
The connected components of the space of Alexandrov surfaces
, 2013 Denote by $\mathcal{A}(\kappa)$ the set of all compact Alexandrov surfaces with curvature bounded below by $\kappa$ without boundary, endowed with the topology induced by the Gromov-Hausdorff metric. We determine the connected components of $\mathcal{A}(\
A.D. Aleksandrov +5 more
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The asymptotic dimension of a curve graph is finite
, 2007 We find an upper bound for the asymptotic dimension of a hyperbolic metric space with a set of geodesics satisfying a certain boundedness condition studied by Bowditch.
Bell, Gregory, Fujiwara, Koji
core +1 more source