Results 1 to 10 of about 5,091 (242)
Collineation group as a subgroup of the symmetric group [PDF]
Let ψ be the projectivization (i.e., the set of one-dimensional vector subspaces) of a vector space of dimension ≥ 3 over a field. Let H be a closed (in the pointwise convergence topology) subgroup of the permutation group $\mathfrak{S}_\psi $ of the set
Bogomolov Fedor, Rovinsky Marat
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Genome-wide identification and characterization of the bHLH gene family and analysis of their potential relevance to chlorophyll metabolism in Raphanus sativus L [PDF]
Background Green-fleshed radish (Raphanus sativus L.) is an economically important root vegetable of the Brassicaceae family, and chlorophyll accumulates in its root tissues.
Ruihua Wang +4 more
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Collineation groups of translation planes of small dimension [PDF]
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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ON THE DEFINITION OF MATTER COLLINEATIONS [PDF]
It is shown that when the stress–energy tensor of a spacetime is diagonal and is written in the mixed form, its collineations admit infinite dimensional Lie algebras except possibly in the case when the tensor depends on all the spacetime coordinates. The result can be extended for more general second rank tensors.
Qadir, Asghar, Saifullah, K.
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Finding the Collineation between Two Projective Reconstructions
G. Csurka, David Demirdjian, Radu Horaud
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Proof of the prime power conjecture for projective planes of order 𝑛 with abelian collineation groups of order 𝑛² [PDF]
Aart Blokhuis +2 more
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Geometrization of a general collineation
Geometrization of a general collineation means to express the collineation as necessary and sufficient conditions on the kinematic quantities (shear, vorticity, expansion) of the congruence of the vector field generating the collineation. It is shown that the generic form of a collineation is Lξgab = 2ψgab + Hab where Hab is a traceless symmetric ...
M. Tsamparlis
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WEYL COLLINEATIONS THAT ARE NOT CURVATURE COLLINEATIONS [PDF]
Though the Weyl tensor is a linear combination of the curvature tensor, Ricci tensor and Ricci scalar, it does not have all and only the Lie symmetries of these tensors since it is possible, in principle, that "asymmetries cancel." Here we investigate if, when and how the symmetries can be different.
Hussain, Ibrar +2 more
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Finite collineation groups and birational rigidity [PDF]
We classify finite groups G in PGL4(C)\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt ...
I. Cheltsov, C. Shramov
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The Imperial Citadel of Thang Long is a crucial case in ancient Vietnam's planning and design history. Although historical materials indicate that the orientation of the Imperial Citadel of Thang Long has a dialectical unity relationship with the ...
Theanh Dinh, Xiaogeng Ren
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