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Characterization of affine links in the projective space [PDF]
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
The linear projective element of a surface embedded in the space with a projective connection [PDF]
Alois Švec
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Projective generalizations of Lelieuvre's formula [PDF]
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
This study investigates the pseudo-projective curvature tensor within the framework of doubly and twisted warped product manifolds. It offers significant insights into the interaction between the pseudo-projective curvature tensor and both the base and ...
Ayman Elsharkawy+3 more
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Generalized theorems of Desargues for 𝑛-dimensional projective space [PDF]
P. O. Bell
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Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields
Every Killing tensor field on the space of constant curvature and on the complex projective space can be decomposed into the sum of symmetric tensor products of Killing vector fields (equivalently, every polynomial in velocities integral of the geodesic ...
Matveev, Vladimir S., Nikolayevsky, Yuri
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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]
Akitsugu Kawaguchi
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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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