Generalized theorems of Desargues for 𝑛-dimensional projective space [PDF]
, 1955 P. O. Bell
openalex +1 more source
Special Kähler geometry and holomorphic Lagrangian fibrations
Comptes Rendus. MathématiqueGiven 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
doaj +1 more source
Fano manifolds which are not slope stable along curves [PDF]
arXiv, 2011 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]
, 1928 Akitsugu Kawaguchi
openalex +1 more source
On some interpretation of linear frames in projective differential geometry
Дифференциальная геометрия многообразий фигур, 2018 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
doaj
Flat-Parallel Minkowski Space and β-Change with α,β-Metric
Journal of MathematicsThe 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
doaj +1 more source
Loci of 𝑚-spaces joining corresponding points of 𝑚+1 projectively related 𝑛-spaces in 𝑟-space [PDF]
, 1934 B. C. Wong
openalex +1 more source
Projective differential geometry of correspondences between two spaces. III [PDF]
, 1950 Eduard Čech
openalex +1 more source
Petty projection inequality on the sphere and on the hyperbolic space [PDF]
arXivUsing 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
EURASIP Journal on Image and Video Processing, 2011 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
doaj