Results 21 to 30 of about 178,487 (106)
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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On projections of metric spaces
Journal of Computational Geometry, 2011 Journal of Computational Geometry, Vol. 5 No. 1 (2014)
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On the quaternion projective space [PDF]
Journal of Taibah University for Science, 2020 Apart from being a vital and exciting field in mathematics with interesting results, projective spaces have various applications in design theory, coding theory, physics, combinatorics, number theory and extremal combinatorial problems. In this paper, we consider real, complex and quaternion projective spaces.
Y. Omar +4 more
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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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Invariants on Projective Space [PDF]
Journal of the American Mathematical Society, 1994 This article is concerned with the construction of invariant nonlinear differential operators for projective space, pn := P(R n+1) There is no loss in working at first on the projective n-sphere Sn, that is the space of rays in Rn+l. The consequences for pn will be explained at the end of the article.
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The BGG Complex on Projective Space [PDF]
Symmetry, Integrability and Geometry: Methods and Applications, 2011 We give a complete construction of the Bernstein-Gelfand-Gelfand complex on real or complex projective space using minimal ingredients.
Eastwood, M., Rod Gover, A.
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, 2012 A central problem in liaison theory is to decide whether every arithmetically Cohen-Macaulay subscheme of projective $n$-space can be linked by a finite number of arithmetically Gorenstein schemes to a complete intersection.
Migliore, Juan, Nagel, Uwe
core
Mapping spaces from projective spaces [PDF]
Homology, Homotopy and Applications, 2016 26 pages, 3 figures; the appendix in v3 is deleted since its argument was ...
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Contractive projections and operator spaces [PDF]
Comptes Rendus de l'Académie des Sciences - Series I - Mathematics, 2000 Parallel to the study of finite-dimensional Banach spaces, there is a growing interest in the corresponding local theory of operator spaces. We define a family of Hilbertian operator spaces H n k H_n^k , 1 ≤ k ≤ n 1\le k\le n , generalizing the row and column ...
Neal, Matthew, Russo, Bernard
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