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Normal Coordinates in Affine Geometry
Published 2017-03-01“…Manifolds of affine geometry of general type with nontrivial metric, torsion, and nonmetricity tensor have been considered. …”
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The fundamental theorem of affine geometry
Published 2023-07-01“… We deal with a natural generalization of the classical Fundamental Theorem of Affine Geometry to the case of non bijective maps. This extension geometrically characterizes semiaffine morphisms. …”
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The fundamental theorem of affine geometry
Published 2023-07-01“… We deal with a natural generalization of the classical Fundamental Theorem of Affine Geometry to the case of non bijective maps. This extension geometrically characterizes semiaffine morphisms. …”
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Complete Caps in Affine Geometry AG(n, 3)
Published 2022-06-01Subjects: “…affine geometry…”
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A Unified Approach to Aitchison’s, Dually Affine, and Transport Geometries of the Probability Simplex
Published 2024-11-01Subjects: “…affine geometry…”
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α-Connections and a Symmetric Cubic Form on a Riemannian Manifold
Published 2017-07-01Subjects: Get full text
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Pachner Move 3 o 3 and Affine Volume-Preserving Geometry in R^3
Published 2005-11-01Subjects: “…three-dimensional affine geometry…”
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Geometric realization of electronic elections based on threshold secret sharing
Published 2018-07-01Subjects: Get full text
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Movement timing and invariance arise from several geometries.
Published 2009-07-01“…During both drawing and locomotion equi-affine geometry was the most dominant geometry, with affine geometry second most important during drawing; Euclidian geometry was second most important during locomotion. …”
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Some Applications of Casorati Curvature for Statistical Submanifolds of Sasakian Statistical Manifolds and Locally Homogeneous, Quasi-Umbilical Hypersurfaces
Published 2021-09-01“…In this paper, in the first part, the affine geometry is assumed as the main framework. Then we have a spacious explanation of necessary introduction in rather different subjects. …”
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L-systems in Geometric Modeling
Published 2010-08-01“…We show that parametric context-sensitive L-systems with affine geometry interpretation provide a succinct description of some of the most fundamental algorithms of geometric modeling of curves. …”
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Generalized Liouville theorem for viscosity solutions to a singular Monge-Ampère equation
Published 2023-04-01“…In this article, we study the asymptotic behaviour at infinity for viscosity solutions to a singular Monge-Ampère equation in half space from affine geometry. In particular, we extend the Liouville theorem for smooth solutions to the case of viscosity solutions by a completely different method from the smooth case.…”
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Weyl-Invariant Extension of the Metric-Affine Gravity
Published 2015-01-01“…Metric-affine geometry provides a nontrivial extension of the general relativity where the metric and connection are treated as the two independent fundamental quantities in constructing the spacetime (with nonvanishing torsion and nonmetricity). …”
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Weyl-Invariant Extension of the Metric-Affine Gravity
Published 2015“…Metric-affine geometry provides a nontrivial extension of the general relativity where the metric and connection are treated as the two independent fundamental quantities in constructing the spacetime (with nonvanishing torsion and nonmetricity). …”
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MEASURING IN IMAGES WITH PROJECTIVE GEOMETRY
Published 2018-09-01“…This article introduces an invariant on the projective plane, describes its relation to affine geometry, and how to use it to reduce the complexity of projective transformations. …”
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