Results 31 to 40 of about 186,600 (323)

Invariants on Projective Space [PDF]

Journal of the American Mathematical Society, 1994
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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Features of the geometry of the five-dimensional pseudo-Euclidean space of index two [PDF]

E3S Web of Conferences
The 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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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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Monads on projective spaces [PDF]

Communications in Algebra, 2000
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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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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The projective space

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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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
Andrea Blunck, Hans Havlicek
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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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Immersions of real projective spaces into complex projective spaces [PDF]

Hiroshima Mathematical Journal, 1987
This paper achieves a classification up to regular homotopy of immersions from a real projective space \(P^ n({\mathbb{R}})\) into a complex projective space \(P^ m({\mathbb{C}})\). Calculations with characteristic classes show that, for \(n>m\), any such immersion is nullhomotopic.
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Projective coordinates and projective space limit [PDF]

Nuclear Physics B, 2008
16 pages, v2: modified the section 2.1 clarifying the difference from IW contraction, added notes & references, version to appear in Nuclear Physics ...
Machiko Hatsuda, Machiko Hatsuda, Kiyoshi Kamimura   +2 more
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