Results 31 to 40 of about 5,091 (242)
Translation planes of odd order and odd dimension
International Journal of Mathematics and Mathematical Sciences, 1979 The author considers one of the main problems in finite translation planes to be the identification of the abstract groups which can act as collineation groups and how those groups can act.
T. G. Ostrom
doaj +1 more source
Edinburgh Mathematical Notes, 1960 If in a complex projective plane a point P, with coordinate vector x, corresponds to a point p*, with coordinate vector x*, under a non-singular collineation, thenx* = Axwhere A is a non-singular 3×3 matrix, the coordinates and the elements of A being complex numbers.
openaire +1 more source
On singular projective deformations of two second class totally focal pseudocongruences of planes
International Journal of Mathematics and Mathematical Sciences, 1988 Let C:L→L¯ be a projective deformation of the second order of two totally focal pseudocongruences L and L¯ of (m−1)-planes in projective spaces Pn and P¯n, 2m−1 ...
Ludmila Goldberg
doaj +1 more source
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
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
The geometry of GL(2,q) in translation planes of even order q2
International Journal of Mathematics and Mathematical Sciences, 1978 In this article we show the following: Let π be a translation plane of even order q2 that admits GL(2,q) as a collineation group. Then π is either Desarguesian, Hall or Ott-Schaeffer.
N. L. Johnson
doaj +1 more source
On some systems of collineation groups
, 1913 SOME systems of collineation groups which arise in connection with the theory of elliptic functions have been investigated by Klein | and HurwitzJ. One of them is a system in n variables each group of which contains an invariant subgroup of order n.
H. H. Mitchell
semanticscholar +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
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
core +1 more source
On Invariant Notions of Segre Varieties in Binary Projective Spaces [PDF]
, 2010 Invariant notions of a class of Segre varieties $\Segrem(2)$ of PG(2^m - 1, 2) that are direct products of $m$ copies of PG(1, 2), $m$ being any positive integer, are established and studied.
A. Bichara +22 more
core +5 more sources