Results 21 to 30 of about 188,835 (324)
Cycles in projective spaces [PDF]
Journal of Geometry, 2013 6 ...
Aceves, Elaina +3 more
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Applications of a Particular Four-Dimensional Projective Geometry to Galactic Dynamics
Galaxies, 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
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Fibers of rational maps and Rees algebras of their base ideals
Tạp chí Khoa học Đại học Huế: Khoa học Tự nhiên, 2020 We consider a ratinonal map $\phi$ from m-dimensional projective space to n-dimensional projective space that is a parameterization of m-dimensional variety. Our main goal is to study the (m-1)-dimensional fibers of $\phi$ in relation with the m-th local
Tran Quang Hoa, Ho Vu Ngoc Phuong
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Affine Spaces within Projective Spaces [PDF]
Results in Mathematics, 1999 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
Blunck, Andrea, Havlicek, Hans
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Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]
E3S Web of ConferencesThe article is devoted to the study of the geometry of subspaces of a five-dimensional pseudo-Euclidean space. This space is attractive because all kinds of semi-Euclidean, semi-pseudo-Euclidean, hyperbolic three-dimensional spaces with projective ...
Artikbaev A., Mamadaliyev B.M.
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On the Almost $\eta-$Ricci Solitons on Pseudosymmetric Lorentz Generalized Sasakian Space Forms
Universal Journal of Mathematics and Applications, 2023 In this paper, we consider Lorentz generalized Sasakian space forms admitting almost $\eta-$Ricci solitons in some curvature tensors. Ricci pseudosymmetry concepts of \ Lorentz generalized Sasakian space forms admitting $\eta-$Ricci soliton have ...
Mehmet Atçeken, Tuğba Mert
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Decoding of Projective Reed-Muller Codes by Dividing a Projective Space into Affine Spaces
, 2015 A projective Reed-Muller (PRM) code, obtained by modifying a (classical) Reed-Muller code with respect to a projective space, is a doubly extended Reed-Solomon code when the dimension of the related projective space is equal to 1.
Matsui, Hajime, Nakashima, Norihiro
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Fuzzy collineations of 3-dimensional fuzzy projective space from 4-dimensional fuzzy vector space
AIMS MathematicsIn 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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Duke Mathematical Journal, 1950 The most striking feature of projective geometry is the principle of duality: If in a proposition about the projective space (the projective plane) we interchange points and planes (points and lines) we obtain a valid proposition. It thus seems natural to ask for a self-dual foundation of the theories in the sense that for every postulate the above ...
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Metrizations of Projective Spaces [PDF]
Proceedings of the American Mathematical Society, 1957 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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