Results 21 to 30 of about 957 (187)

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
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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

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
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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
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Fuzzy collineations of 3-dimensional fuzzy projective space from 4-dimensional fuzzy vector space

AIMS Mathematics
In this paper, the fuzzy counterparts of the collineations defined in classical projective spaces are defined in a 3-dimensional fuzzy projective space derived from a 4-dimensional fuzzy vector space. The properties of fuzzy projective space $ (\lambda, \
Elif Altintas Kahriman
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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
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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
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Collineation groups of translation planes of small dimension

International Journal of Mathematics and Mathematical Sciences, 1981
A subgroup of the linear translation complement of a translation plane is geometrically irreducible if it has no invariant lines or subplanes. A similar definition can be given for “geometrically primitive”.
T. G. Ostrom
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Treacher collins syndrome

British Journal of Plastic Surgery, 1950
Summary Two cases of Treacher Collins syndrome are reported. The family history is shown to be variable, but there appears to be a distinct familial incidence. A comparison has been drawn between the Treacher Collins syndrome and unilateral facial agenesis. The embryology is discussed, and it has been suggested that the causative factor may influence
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On rank 4 projective planes

International Journal of Mathematics and Mathematical Sciences, 1981
Let a finite projective plane be called rank m plane if it admits a collineation group G of rank m, let it be called strong rank m plane if moreover GP=G1 for some point-line pair (P,1).
O. Bachmann
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