Results 41 to 50 of about 8,504,062 (361)
On projective coordinate spaces
In the present study, an (n+1)-dimensional module over the local ringK = Mmm(R) is constructed. Further, an n-dimensional projective coordinate space over this module is constructed with the help of equivalence classes. The points and lines of this space are determined and the points are classified.
Erdogan, FATMA, Ciftci, Suleyman
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A space of projections on the Bergman space [PDF]
We define a set of projections on the Bergman space A 2 , which is parameterized by an ane subset of a Banach space of holomorphic functions in the disk and which includes the classical Forelli-Rudin projections.
Salvador Pérez-Esteva, Oscar Blasco
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A generalized Bogomolov–Gieseker inequality for the three-dimensional projective space [PDF]
A generalized Bogomolov–Gieseker inequality for tilt-stable complexes on a smooth projective threefold was conjectured by Bayer, Toda, and the author.
Emanuele Macrì
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Invariants on Projective Space [PDF]
The paper contains some new theorems and examples of constructions of invariant nonlinear differential operators on real \(n\)-spheres. The classical theory of H. Weyl is essentially and practically extended. The results concerning spheres are transferred to projective spaces.
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Affine Spaces within Projective Spaces [PDF]
We endow the set of complements of a fixed subspace of a projective space with the structure of an affine space, and show that certain lines of such an affine space are affine reguli or cones over affine reguli. Moreover, we apply our concepts to the problem of describing dual spreads. We do not assume that the projective space is finite-dimensional or
Andrea Blunck, Hans Havlicek
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Metrizations of Projective Spaces [PDF]
A two-dimensional G-space,1 in which the geodesic through two distinct points is unique, is either homeomorphic to the plane E2 and all geodesics are isometric to a straight line, or it is homeomorphic to the projective plane p2 and all geodesics are isometric to the same circle, see [1, ??10 and 31]. Two problems arise in either case: (1) To determine
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Monads on projective spaces [PDF]
This is a little investigation into the classification of complexes of direct sums of line bundles on projective spaces. We consider complexes on projective k-space Pk : O_Pk(-1)^a --> O_Pk^b --> O_Pk(1)^c, with the first map injective and the second map surjective. This is called a monad.
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Applications of a Particular Four-Dimensional Projective Geometry to Galactic Dynamics
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
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Centered planes in the projective connection space
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
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