Results 31 to 40 of about 4,477 (212)
Symmetries of Bianchi I space-times [PDF]
, 2000 All diagonal proper Bianchi I space-times are determined which admit certain important symmetries. It is shown that for Homotheties, Conformal motions and Kinematic Self-Similarities the resulting space-times are defined explicitly in terms of a set of ...
Belinski V. A. +19 more
core +3 more sources
Approximate Lie Symmetry Conditions of Autoparallels and Geodesics
Abstract and Applied Analysis, Volume 2020, Issue 1, 2020., 2020 This paper is devoted to the study of approximate Lie point symmetries of general autoparallel systems. The significance of such systems is that they characterize the equations of motion of a Riemannian space under an affine parametrization. In particular, we formulate the first‐order symmetry determining equations based on geometric requirements and ...
Sameerah Jamal, Shi Liang Wu
wiley +1 more source
Hypersurfaces in a conformally flat space with curvature collineation
International Journal of Mathematics and Mathematical Sciences, 1991 We classify the shape operators of Einstein and pseudo Einstein hypersurfaces in a conformally flat space with a symmetry called curvature collineation. We solve the fundamental problem of finding all possible forms of non-diagonalizable shape operators.
K. L. Duggal, R. Sharma
doaj +1 more source
Ricci Collineations for type B warped space-times [PDF]
, 1997 We present the general structure of proper Ricci Collineations (RC) for type B warped space-times. Within this framework, we give a detailed description of the most general proper RC for spherically symmetric metrics.
A. A. Coley +26 more
core +2 more sources
Gauge-reversing maps on cones, and Hilbert and Thompson isometries [PDF]
, 2013 We show that a cone admits a gauge-reversing map if and only if it is a symmetric cone. We use this to prove that every isometry of a Hilbert geometry is a collineation unless the Hilbert geometry is the projective space of a non-Lorentzian symmetric ...
Cormac Walsh, Thompson Isometries
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symmetries of the Ricci tensor of static space times with maximal symmetric transverse spaces
, 2006 Static space times with maximal symmetric transverse spaces are classified according to their Ricci collineations. These are investigated for non-degenerate Ricci tensor ($det.(R_{\alpha}) \neq 0$).
A.Z. Petro +4 more
core +2 more sources
, 2019 In this paper, we study KM-arcs in PG(2, q), the Desarguesian projective plane of order q. A KM-arc A of type t is a natural generalisation of a hyperoval: it is a set of q+t points in PG(2, q) such that every line of PG(2, q) meets A in 0, 2 or t points.
De Boeck, Maarten +1 more
core +2 more sources
Translation planes of even order in which the dimension has only one odd factor
International Journal of Mathematics and Mathematical Sciences, 1980 Let G be an irreducible subgroup of the linear translation complement of a finite translation plane of order qd where q is a power of 2. GF(q) is in the kernel and d=2sr where r is an odd prime. A prime factor of |G| must divide (qd+1)∏i=1d(qi−1).
T. G. Ostrom
doaj +1 more source
Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane
Известия Иркутского государственного университета: Серия "Математика", 2020 Elementary Abelian 2-subgroups in an Autotopism Group of a Semifield Projective Plane} We investigate the hypotheses on a solvability of the full collineation group for non-Desarguesian semifield projective plane of a finite order (the question 11.76 in ...
O. V. Kravtsova
doaj +1 more source
On collineations and dualities of finite generalized polygons [PDF]
, 2009 In this paper we generalize a result of Benson to all finite generalized polygons. In particular, given a collineation theta of a finite generalized polygon S, we obtain a relation between the parameters of S and, for various natural numbers i, the ...
Temmermans, Beukje +2 more
core +2 more sources