Results 31 to 40 of about 4,910 (167)
Centered planes in the projective connection space
Дифференциальная 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
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On Projections In Spaces Of Pencils
Demonstratio Mathematica, 1998 The authors study an incidence structure where the points are \(k\)-dimensional subspaces of a given vector space, and each block is determined by a \((k-1)\)- and a \((k+1)\)-dimensional subspace (the former contained in the latter). They define projectivities and projective collineations, and show that projective collineations are determined by ...
Oryszczyszyn, Henryk +1 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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On the relative projective space
Theory and Applications of Categories, 2019 Let $(\mathcal C,\otimes,\mathbb 1)$ be an abelian symmetric monoidal category satisfying certain exactness conditions. In this paper we define a presheaf $\mathbb P^{n}_{\mathcal C}$ on the category of commutative algebras in $\mathcal C$ and we prove that this functor is a $\mathcal C$-scheme in the sense of Toen and Vaquié.
Data, Matias Ignacio +1 more
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Packings in Real Projective Spaces [PDF]
SIAM Journal on Applied Algebra and Geometry, 2018 31 pages, 2 ...
Matthew Fickus +2 more
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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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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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Cyclic Projections in Hadamard Spaces
Journal of Optimization Theory and Applications, 2022 6 pages, 3 ...
Alexander Lytchak, Anton Petrunin
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