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We show that a germ of a real analytic Lorentz metric on R 3 which is locally homogeneous on an open set containing the origin in its closure is necessarily locally homogeneous. We classifiy L...
Dynamics on Lorentz manifolds ENSET Oran, November 4-9, 2006     ENSET Oran  Dynamics       font style='font-size:12px;'> 2015/10/14
This course was given at ENSET Oran, November 4-9, 2006. It is an introduction to isometric actions of Lie groups on Lorentz manifolds. Several examples are presented, followed by general defi...
Isometric actions of Heisenberg groups on compact Lorentz manifolds     Heisenberg groupsl  Lorentz manifolds       font style='font-size:12px;'> 2015/10/14
We prove results toward classifying compact Lorentz manifolds on which Heisenberg groups act isometrically. We give a general construction, leading to a new example, of codimension-one actions—those...
Compact Lorentz manifolds with local symmetry     local symmetry  Lorentz manifolds       font style='font-size:12px;'> 2015/10/14
We prove a structure theorem for compact aspherical Lorentz manifolds with abundant local symmetry. If M is a compact, aspherical, real-analytic, complete Lorentz manifold such that the isometry grou...
We study electrical current in two-dimensional periodic Lorentz gas in the presence of a weak homogeneous etric field.When the horizon is finite, i.e. the free flights between colli...
RECURRENCE PROPERTIES OF PLANAR LORENTZ PROCESS     LORENTZ PROCESS  RECURRENCE PROPERTIES       font style='font-size:12px;'> 2015/9/29
First return and first hitting times, local times and first intersection times are studied for planar finite horizon Lorentz processes with a periodic configuration of scatte...
LIMIT THEOREMS FOR LOCALLY PERTURBED PLANAR LORENTZ PROCESSES     LOCALLY PERTURBED PLANAR  PROCESSES       font style='font-size:12px;'> 2015/9/29
Modify the scatterer conguration of a planar, nitehorizon Lorentz process in a bounded domain. Sinai asked in 1981 whether for the diffusively scaled variant of the modied process convergence to Bro...
We consider a long Lorentz tube with absorbing boundaries. Particles are injected to the tube from the left end. We compute the equilibrium density pro les in two cases: the semi-in nite tube (in whi...
RECURRENT GEODESICS IN FLAT LORENTZ 3-MANIFOLDS     LORENTZ 3-MANIFOLDS  GEODESICS       font style='font-size:12px;'> 2015/9/29
We introduce the notion of recurrent geodesic rays in a complete °at Lorentz 3-manifold. We completely classify the dynamical behavior of geodesics in cyclic quotients, and apply this classiˉcation...
NONSTANDARD LORENTZ SPACE FORMS     lorentz  Space form       font style='font-size:12px;'> 2015/9/29
In their recent paper [8], Kulharni and Raymond show that a closed 3-manifold which admits a complete Lorentz metric of constant curvature 1 (henceforth called a complete Lorentz structure) must be ...
A flat Lorentz space form is a geodesically complete Lorentzian manifold of zero curvature. It is well known (see Auslander & Markus [3]) that such a space M may be represented as a quotient Rw /Γ,...
We calculate magnetic moments of nucleons and hyperons and N -> Delta + gamma transition characteristics using a manifestly Lorentz covariant chiral quark approach for the study of baryons as bound st...
We calculate magnetic moments of light baryons and N→Δγ transition characteristics using a manifestly Lorentz covariant chiral quark approach for the study of baryons as bound states of constituent qu...
Abstract. In this paper, first we give a notion for linear Weingarten spacelike hypersurfaces with P + aH = b in a locally symmetric Lorentz space Ln+11 . Furthermore, we study complete or compact lin...
It has been recently argued [arXiv:1205.0096] that the Lorentz force is incompatible with Special Relativity and should be amended in the presence of magnetization and polarization in order to avoid a...

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