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Polynomial Mappings with Small Degree
Demonstratio Mathematica, 2015 Let Xn be an affine variety of dimension n and Yn be a quasi-projective variety of the same dimension. We prove that for a quasi-finite polynomial mapping ƒ : Xn → Yn, every non-empty component of the set Yn\ ƒ (Xn) is closed and it has dimension greater
Jelonek Zbigniew
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AV-differential geometry and Newtonian mechanics [PDF]
, 2006 A frame independent formulation of analytical mechanics in the Newtonian space-time is presented The differential geometry of affine values i.e., the differential geometry in which affine bundles replace vector bundles and sections of one dimensional ...
Grabowska, Katarzyna, Urbanski, Pawel
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R-convexity in R-vector spaces
Journal of Inequalities and Applications, 2022 In this paper, for every relation R on a vector space V, we consider the R-vector space ( V , R ) $(V,R)$ and define the notions of R-convexity, R-convex hull, and R-extreme point in this space.
Ali Ebrahimi Meymand, Azadeh Alijani
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Preserving affine Baire classes by perfect affine maps
, 2015 Let $\varphi\colon X\to Y$ be an affine continuous surjection between compact convex sets. Suppose that the canonical copy of the space of real-valued affine continuous functions on $Y$ in the space of real-valued affine continuous functions on $X$ is ...
Kalenda, Ondřej F. K., Spurný, Jiří
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On Affine Symmetric Spaces [PDF]
Transactions of the American Mathematical Society, 1965 the connected component of identity in G . Conversely, if G is a Lie group with an involutive automorphism E and H is a subgroup satisfying Go a H c GE, then H is a closed subgroup of G and the coset space G/H is an analytic manifold; furthermore, the canonical invariant affine connection of G induces an affine connection on M = G / H, which renders M ...
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On affine motions with one-dimensional orbits in common spaces of paths
Дифференциальная геометрия многообразий фигурThe concept of a common path space was introduced by J. Duqlas. M. S. Knebelman was the first to consider affine and projective movements in these spaces. The general path space is a generalization of the space of affine connectivity.
N. D. Nikitin, O. G. Nikitina
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The decomposition and classification of radiant affine 3-manifolds
, 2000 An affine manifold is a manifold with torsion-free flat affine connection. A geometric topologist's definition of an affine manifold is a manifold with an atlas of charts to the affine space with affine transition functions; a radiant affine manifold is ...
Choi, Suhyoung
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Moduli Spaces of Affine Homogeneous Spaces [PDF]
Bulletin of the Belgian Mathematical Society - Simon Stevin, 2019 Apart from global topological problems an affine homogeneous space is locally described by its curvature, its torsion and a slightly less tangible object called its connection in a given base point. Using this description of the local geometry of an affine homogeneous space we construct an algebraic variety $\mathfrak{M}(\mathfrak{gl}\,V)$, which ...
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Quantization of Drinfeld Zastava in type A
, 2014 Drinfeld Zastava is a certain closure of the moduli space of maps from the projective line to the Kashiwara flag scheme of the affine Lie algebra $\hat{sl}_n$.
Finkelberg, Michael, Rybnikov, Leonid
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Bollettino dell'Unione Matematica Italiana, 2022 19 pages.
Fatelo, J. P., Martins-Ferreira, N.
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