Generalized theorems of Desargues for 𝑛-dimensional projective space [PDF]
P. O. Bell
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Special Kähler geometry and holomorphic Lagrangian fibrations
Given a holomorphic Lagrangian fibration of a compact hyperkähler manifold, we use the differential geometry of the special Kähler metric that exists on the base away from the discriminant locus, and show that the pullback of the tangent bundle of the ...
Li, Yang, Tosatti, Valentino
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Fano manifolds which are not slope stable along curves [PDF]
We show that a Fano manifold (X,-K_X) is not slope stable with respect to a smooth curve Z if and only if (X,Z) is isomorphic to one of (projective space, line), (product of projective line and projective space, fiber of second projection) or (blow up of projective space along linear subspace of codimension two, nontrivial fiber of blow up).
arxiv
Differential geometry of conics in the projective space of three dimensions.—I. Fundamental theorem in the theory of a one-parameter family of conics [PDF]
Akitsugu Kawaguchi
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On some interpretation of linear frames in projective differential geometry
The centroprojective group, i. e. the stabilizer G of a fixed point A in the group GP(n) of projective transformations of n-dimensional projective space Pn (n > 1) is considered in the paper. Two faithful representations of the linear quotient group of G
A. Kuleshov
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Flat-Parallel Minkowski Space and β-Change with α,β-Metric
The purpose of this paper is to examine the condition for a Finsler space with a generalized α,β-metric to be projectively flat. In addition, we establish that the Finsler space with generalized α,β-metric is a flat-parallel Minkowski space and derive ...
Brijesh Kumar Tripathi, Sadika Khan
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Loci of 𝑚-spaces joining corresponding points of 𝑚+1 projectively related 𝑛-spaces in 𝑟-space [PDF]
B. C. Wong
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Projective differential geometry of correspondences between two spaces. III [PDF]
Eduard Čech
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Petty projection inequality on the sphere and on the hyperbolic space [PDF]
Using gnomonic projection and Poincar\'e model, we first define the spherical projection body and hyperbolic projection body in spherical space $\mathbb{S}^n$ and hyperbolic space $\mathbb{H}^n$, then define the spherical Steiner symmetrization and hyperbolic Steiner symmetrization, finally prove the spherical projection inequality and hyperbolic ...
arxiv
Integrating the Projective Transform with Particle Filtering for Visual Tracking
This paper presents the projective particle filter, a Bayesian filtering technique integrating the projective transform, which describes the distortion of vehicle trajectories on the camera plane.
Beghdadi A+3 more
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