Results 61 to 70 of about 651,446 (197)

The linear projective element of a surface embedded in the space with a projective connection [PDF]

, 1958
Alois Švec
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Characterization of affine links in the projective space [PDF]

arXiv, 2019
A projective link is a smooth closed 1-submanifold of the real projective space of dimension three. A projective link is said to be affine if it is isotopic to a link, which does not intersect some projective plane. The main result: a projective link is affine if and only if the fundamental group of its complement contains a non-trivial element of ...
arxiv  

Integral Geometry in Projective and Affine Spaces [PDF]

, 1950
L. A. Santalo
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Projective generalizations of Lelieuvre's formula [PDF]

arXiv, 1998
Generalizations of the classical affine Lelieuvre formula to surfaces in projective three-dimensional space and to hypersurfaces in multi- dimensional projective space are given. A discrete version of the projective Lelieuvre formula is presented too.
arxiv  

Generalized theorems of Desargues for 𝑛-dimensional projective space [PDF]

, 1955
P. O. Bell
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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
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Loci of 𝑚-spaces joining corresponding points of 𝑚+1 projectively related 𝑛-spaces in 𝑟-space [PDF]

, 1934
B. C. Wong
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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  

Projective differential geometry of correspondences between two spaces. III [PDF]

, 1950
Eduard Čech
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Petty projection inequality on the sphere and on the hyperbolic space [PDF]

arXiv
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