Results 101 to 110 of about 84,048 (226)
Let F ∈ Z [ x 0 , … , x n ] F \in \mathbb {Z}[x_0, \ldots , x_n] be homogeneous of degree d d and assume that F F is not a ‘nullform’, i.e., there is an invariant
Elsenhans, Andreas-Stephan+1 more
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Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space
In the four-dimensional Minkowski space, hypersurfaces classified as right conoids with a time-like axis are introduced and studied. The computation of matrices associated with the fundamental form, the Gauss map, and the shape operator specific to these
Yanlin Li, Erhan Güler
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Generic hypersurface singularities
We give a new differential proof of our result on the maximal rank of generic unions of points of multiplicity two in projective space in degrees greater than five. This simplifies somewhat our proof of the Waring conjecture.
André Hirschowitz, J. Alexander
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Polymer brush hypersurface photolithography
Various lithographic approaches are being explored to create polymer brush patterns with micrometer-scale feature dimensions. Here the authors demonstrate a printing approach which allows independent control of the monomer composition and feature height ...
Carlos Carbonell+7 more
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Quantum fields and entanglement on a curved lightfront
We consider field quantization on an arbitrary null hypersurface in curved spacetime. We discuss the de Sitter horizon as the simplest example, relating the horizon quantization to the standard Fock space in the cosmological patch.
Illan Halpern, Yasha Neiman
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Sur la théorie des hypersurfaces dans un espace à connexion conforme [PDF]
Kentaro Yano, Yosio Mutô
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UNIRATIONALITY OF CUBIC HYPERSURFACES [PDF]
Segre proved that a smooth cubic surface over Q is unirational iff it has a rational point. We prove that the result also holds for cubic hypersurfaces over any field, including finite fields.
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Extended Darboux frame curvatures of Frenet curves lying on parametric 3-surfaces
In this paper, we consider a Frenet curve lying on a parametric hypersurface in 4-dimensional Euclidean space and obtain the expressions of its curvatures with respect to the ...
Bahar Uyar Düldül, Mustafa Düldül
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Some integral formulas for closed hypersurfaces in Riemannian space [PDF]
C. C. Hsiung
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Affine and Projective Geometries of System of Hypersurfaces [PDF]
Kentaro Yano, Hitosi Hiramatu
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