Results 11 to 20 of about 1,565,737 (187)
Lorentzian homogeneous spaces admitting a homogeneous structure of type T1+T3 [PDF]
J.Geom.Phys. 56 (2006) 754-761, 2005 We show that a Lorentzian homogeneous space admitting a homogeneous structure of type T1 + T3 is either a (locally) symmetric space or a singular homogeneous plane wave.
Ambrose +7 more
arxiv +5 more sources
A compact homogeneous S-space [PDF]
Topology and its Applications, 2004 6 ...
Ramiro de la Vega, Kenneth Kunen
openaire +4 more sources
Homogeneous Subspaces of Products of Extremally Disconnected Spaces [PDF]
Topology and its Applications,284(2020)107403, 2018 Homogeneous countably compact spaces $X$ and $Y$ whose product $X\times Y$ is not pseudocompact are constructed. It is proved that all compact subsets of homogeneous subspaces of the third power of an extremally disconnected space are finite. Moreover, under CH, all compact subsets of homogeneous subspaces of any finite power of an extremally ...
Reznichenko, Evgenii
arxiv +3 more sources
Harmonic Maps into Homogeneous Spaces According to a Darboux Homogeneous Derivative [PDF]
SIGMA 11 (2015), 069, 12 pages, 2014 Our purpose is to use a Darboux homogenous derivative to understand the harmonic maps with values in homogeneous space. We present a characterization of these harmonic maps from the geometry of homogeneous space. Furthermore, our work covers all type of invariant geometry in homogeneous space.
Santana, Alexandre J. +1 more
arxiv +4 more sources
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.
McKay, Benjamin
arxiv +2 more sources
Homogeneous geodesics in homogeneous Finsler spaces [PDF]
Journal of Geometry and Physics, 2007 In this paper, we study homogeneous geodesics in homogeneous Finsler spaces. We first give a simple criterion that characterizes geodesic vectors. We show that the geodesics on a Lie group, relative to a bi-invariant Finsler metric, are the cosets of the one-parameter subgroups.
openaire +3 more sources
Non-formal homogeneous spaces [PDF]
Mathematische Zeitschrift, 2012 Several large classes of homogeneous spaces are known to be formal---in the sense of Rational Homotopy Theory. However, it seems that far fewer examples of non-formal homogeneous spaces are known. In this article we provide several construction principles and characterisations for non-formal homogeneous spaces, which will yield a lot of examples.
openaire +5 more sources
Homogeneous isosceles-free spaces [PDF]
Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A. MatemáticasAbstractWe study homogeneity aspects of metric spaces in which all triples of distinct points admit pairwise different distances; such spaces are called isosceles-free. In particular, we characterize all homogeneous isosceles-free spaces up to isometry as vector spaces over the two-element field, endowed with an injective norm.
Christian Bargetz +3 more
openaire +4 more sources
Affine homogeneous varieties and suspensions [PDF]
Research in the Mathematical Sciences 11 (2024), no. 2, article 27, 2023 An algebraic variety $X$ is called a homogeneous variety if the automorphism group $\mathrm{Aut}(X)$ acts on $X$ transitively, and a homogeneous space if there exists a transitive action of an algebraic group on $X$. We prove a criterion of smoothness of a suspension to construct a wide class of homogeneous varieties.
arxiv +1 more source
QUASI-HOMOGENEITY OF THE MODULI SPACE OF STABLE MAPS TO HOMOGENEOUS SPACES (II) [PDF]
Transformation Groups, 2018 Let G be a connected, simply connected, simple, complex, linear algebraic group. Let P be an arbitrary parabolic subgroup of G . Let X=G/P
Christoph Bärligea, Christoph Bärligea
openaire +4 more sources