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Characterization of affine links in the projective space [PDF]

open access: yesarXiv, 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  

Projective generalizations of Lelieuvre's formula [PDF]

open access: yesarXiv, 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  

Geometric analysis of the pseudo-projective curvature tensor in doubly and twisted warped product manifolds

open access: yesAIMS Mathematics
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
doaj   +1 more source

Quadratic Killing tensors on symmetric spaces which are not generated by Killing vector fields

open access: yesComptes Rendus. Mathématique
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
doaj   +1 more source

Special Kähler geometry and holomorphic Lagrangian fibrations

open access: yesComptes Rendus. Mathématique
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
doaj   +1 more source

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