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REAL PROJECTIVE SPACE [PDF]

open access: yesMatrix Science Mathematic
This article will begin with the claim that Hamilton spent a great deal of time trying to figure out the three-dimensional complex numbers. He was never able to accomplish that.
MSc. Ruslan Pozinkevycha
doaj   +1 more source

Brillouin Klein bottle from artificial gauge fields

open access: yesNature Communications, 2022
Topological states are exploited based on crystalline symmetry, but under artificial gauge fields, symmetries may satisfy projective algebras, which remains less studied.
Z. Y. Chen   +2 more
doaj   +1 more source

Projective geometry for blueprints [PDF]

open access: yes, 2012
In this note, we generalize the Proj-construction from usual schemes to blue schemes. This yields the definition of projective space and projective varieties over a blueprint.
Lorscheid, Oliver, Peña, Javier López
core   +3 more sources

Curvature tensor of connection in principal bundle of Cartan's projective connection space

open access: yesДифференциальная геометрия многообразий фигур, 2019
We considered Cartan's projective connection space with structure equations generalizing the structure equations of the projective space and the condition of local projectivity (this condition is an analogue to the equiprojectivity condition in the ...
K. Bashashina
doaj   +1 more source

ON PROJECTIONS IN PROJECTIVE SPACES

open access: yesDemonstratio Mathematica, 1998
Die Verff. betonen, daß eine projektive Kollineation \(\varphi\) eines projektiven Raumes \(PG(V)\), \(V\) ein Vektorraum der Dimension \(\geq 2\), auch dadurch definiert werden kann, daß \(\varphi|_U\) für einen wenigstens 2-dimensionalen linearen Unterraum \(U\) eine solche ist.
Oryszczyszyn, Henryk   +1 more
openaire   +1 more source

Cofinitely and co-countably projective spaces

open access: yesApplied General Topology, 2002
We show that X is cofinitely projective if and only if it is a finite union of Alexandroff compactatifications of discrete spaces. We also prove that X is co-countably projective if and only if X admits no disjoint infinite family of uncountable cozero ...
Pablo Mendoza Iturralde   +1 more
doaj   +1 more source

ADHM construction of perverse instanton sheaves [PDF]

open access: yes, 2012
We present a construction of framed torsion free instanton sheaves on a projective variety containing a fixed line which further generalizes the one on projective spaces. This is done by generalizing the so called ADHM variety.
ABDELMOUBINE AMAR HENNI   +13 more
core   +1 more source

Images of the Scenic Space between Reality and Illusion. Projective Transformations of the Scene in the Renaissance Theatre

open access: yesProceedings, 2017
This study focuses on an analysis of perceiving the infinite “solid images” derived from the projective transformations of space in a relief perspective, with particular reference to Renaissance theatre scenery.
Leonardo Baglioni, Marta Salvatore
doaj   +1 more source

Centered planes in the projective connection space

open access: yesДифференциальная геометрия многообразий фигур, 2020
The space of centered planes is considered in the Cartan projec­ti­ve connection space . The space is important because it has con­nec­tion with the Grassmann manifold, which plays an important role in geometry and topology, since it is the basic space ...
O.O. Belova
doaj   +1 more source

Applications of a Particular Four-Dimensional Projective Geometry to Galactic Dynamics

open access: yesGalaxies, 2018
Relativistic location systems that extend relativistic positioning systems show that pseudo-Riemannian space-time geometry is somehow encompassed in a particular four-dimensional projective geometry.
Jacques L. Rubin
doaj   +1 more source

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