Results 31 to 40 of about 5,503,643 (268)
Homogeneous geodesics in homogeneous Finsler spaces [PDF]
, 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.
arxiv +1 more source
Homogeneous ACM bundles on rational homogeneous spaces [PDF]
arXiv, 2023 In this paper, we characterize homogeneous arithmetically Cohen-Macaulay (ACM) bundles and Ulrich bundles on rational homogeneous spaces. %with respect to general polarizations. From this result, we see that there are only finitely many irreducible homogeneous ACM bundles (up to twist) and Ulrich bundles on these varieties.
arxiv
, 2008 Let S = G / G' be a rational homogeneous space defined by a complex simple Lie group G and a maximal parabolic subgroup G'. For a base point s E S, let c. c IPT.(S) be the variety of minimal rational tangents at s.
Jaehyun Hong, Jun-Muk Hwang
semanticscholar +1 more source
Non-Commutative Integration of the Dirac Equation in Homogeneous Spaces [PDF]
Symmetry, 2020 We develop a non-commutative integration method for the Dirac equation in homogeneous spaces. The Dirac equation with an invariant metric is shown to be equivalent to a system of equations on a Lie group of transformations of a homogeneous space.
A. Breev, A. Shapovalov
semanticscholar +1 more source
The homogeneous structure in a Cartan space
Lietuvos Matematikos Rinkinys, 2013 The homogeneus almost product structure on the Finsler space have Lieviu Popescu studied. In this paper we study the integrability conditions for the homogeneus product structure in Cartan space with Miron connection.
Edmundas Mazėtis
doaj +1 more source
Equivariant Filter (EqF): A General Filter Design for Systems on Homogeneous Spaces [PDF]
IEEE Conference on Decision and Control, 2020 The kinematics of many mechanical systems encountered in robotics and other fields, such as single-bearing attitude estimation and SLAM, are naturally posed on homogeneous spaces: That is, their state lies in a smooth manifold equipped with a transitive ...
Pieter van Goor, T. Hamel, R. Mahony
semanticscholar +1 more source
Harmonic analysis on a finite homogeneous space [PDF]
, 2007 In this paper, we study harmonic analysis on finite homogeneous spaces whose associated permutation representation decomposes with multiplicity. After a careful look at Frobenius reciprocity and transitivity of induction, we introduce three types of ...
Fabio Scarabotti, Filippo Tolli
semanticscholar +1 more source
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 ...
arxiv +1 more source
On the Geometry of Three-dimensional Pseudo-Riemannian Homogeneous Spaces. II [PDF]
Известия Саратовского университета. Новая серия. Серия Математика. Механика. Информатика, 2020 The problem of establishing links between the curvature and the topological structure of a manifold is one of the important problems of the geometry. In general, the purpose of the research of manifolds of various types is rather complicated.
Mozhey, Natal’ya Pavlovna
doaj +1 more source
The Alekseevskii Conjecture in 9 and 10 dimensions [PDF]
, 2021 We show that noncompact homogeneous spaces not diffeomorphic to Euclidean space of dimension 9 or 10 admit no homogeneous Einstein metrics of negative Ricci curvature, with only three potential exceptions. The main ingredient in the proof is to show, via a cohomogeneity-one approach, that noncompact homogeneous spaces admitting an ideal isomorphic to $
arxiv +1 more source