Results 71 to 80 of about 592,550 (217)
Lifting locally homogeneous geometric structures [PDF]
arXiv, 2011 We prove that under some purely algebraic conditions every locally homogeneous structure modelled on some homogeneous space is induced by a locally homogeneous structure modelled on a different homogeneous space.
arxiv
Normal homogeneous Finsler spaces [PDF]
arXiv, 2014 In this paper, we study normal homogeneous Finsler spaces. We first define the notion of a normal homogeneous Finsler space, using the method of isometric submersion of Finsler metrics. Then we study the geometric properties. In particular, we establish a technique to reduce the classification of normal homogeneous Finsler spaces of positive flag ...
arxiv
Moduli Spaces of Affine Homogeneous Spaces [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2019 Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a given base point. Using this description of the local geometry of an affine homogeneous space we construct an algebraic variety $\mathfrak{M}(\mathfrak{gl}\,V)$, which ...
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Affine embeddings of homogeneous spaces [PDF]
, 2007 Let G be a reductive algebraic group and H a closed subgroup of G. An affine embedding of the homogeneous space G/H is an affine G-variety with an open G-orbit isomorphic to G/H. We start with some basic properties of affine embeddings and consider the cases, where the theory is well-developed: toric varieties, normal SL(2)-embeddings, S-varieties, and
Ivan Arzhantsev, D. A. Timashev
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PARABOLIC COMPACTIFICATION OF HOMOGENEOUS SPACES [PDF]
Journal of the Institute of Mathematics of Jussieu, 2019 AbstractIn this article, we study compactifications of homogeneous spaces coming from equivariant, open embeddings into a generalized flag manifold$G/P$. The key to this approach is that in each case$G/P$is the homogeneous model for a parabolic geometry; the theory of such geometries provides a large supply of geometric tools and invariant differential
Andreas Čap +2 more
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Unified representation of homogeneous and quasi-homogenous systems in geometrothermodynamics
Physics Letters B, 2023 We analyze homogeneous and quasi-homogeneous thermodynamic systems within the formalism of geometrothermodynamics (GTD). A generalized Euler identity is used to obtain the explicit form of the three Legendre invariant metrics that are known in GTD for ...
Hernando Quevedo, María N. Quevedo
doaj
On Maximal Homogeneous 3-Geometries—A Polyhedron Algorithm for Space Tilings
Universe, 2018 In this paper we introduce a polyhedron algorithm that has been developed for finding space groups. In order to demonstrate the problem and the main steps of the algorithm, we consider some regular plane tilings in our examples, and then we generalize ...
István Prok
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The affine approach to homogeneous geodesics in homogeneous Finsler spaces [PDF]
Archivum Mathematicum (Brno) 54 (2018), 257-263, 2017 In a recent paper, it was claimed that any homogeneous Finsler space of odd dimension admits a homogeneous geodesic through any point. For the proof, the algebraic method dealing with the reductive decomposition of the Lie algebra of the isometry group was used. However, the proof contains a serious gap.
arxiv
Una introducción a los continuos homogéneos
Revista Integración, 2011 Un continuo es un espacio métrico, compacto y conexo. Un continuo X es homogéneo si para cualesquiera dos de sus puntos x1 y x2 de X, existe un homeomorfismo h: X →→ X tal que h(x1) = x2.
Sergio Macías
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Two-step Homogeneous Geodesics in Homogeneous Spaces
Taiwanese Journal of Mathematics, 2016 18 ...
Arvanitoyeorgos, Andreas +1 more
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