Results 51 to 60 of about 42,946 (260)
Osculating hypersurfaces of higher order
Oscurating surfaces of second order have been studied in classical differential geometry [1]. In this article we generalize this notion to osculating hyper-surfaces of higher order of hyper-surfaces in Euclidean n-space.
Kazimieras Navickis
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Normalization of Norden — Chakmazyan for distributions given on a hypersurface
In the projective space, we continue to study a hypersurface with three strongly mutual distributions. For equipping distributions of a hypersurface, normalization in the sense of Norden — Chakmazyan is introduced internally.
N.A. Eliseeva
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Implicitization of hypersurfaces
We present new, practical algorithms for the hypersurface implicitization problem: namely, given a parametric description (in terms of polynomials or rational functions) of the hypersurface, find its implicit equation. Two of them are for polynomial parametrizations: one algorithm, "ElimTH", has as main step the computation of an elimination ideal via ...
ABBOTT, JOHN ANTHONY +2 more
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Euclidean hypersurfaces isometric to spheres
Given an immersed hypersurface $ M^{n} $ in the Euclidean space $ E^{n+1} $, the tangential component $\boldsymbol{\omega }$ of the position vector field of the hypersurface is called the basic vector field, and the smooth function of the normal ...
Yanlin Li +3 more
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Dirac’s discrete hypersurface deformation algebras [PDF]
The diffeomorphism symmetry of general relativity leads in the canonical formulation to constraints, which encode the dynamics of the theory. These constraints satisfy a complicated algebra, known as Dirac’s hypersurface deformation algebra. This algebra
V. Bonzom, B. Dittrich
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Lightlike Hypersurfaces and Canal Hypersurfaces of Lorentzian Surfaces
The lightlike hypersurfaces in semi-Euclidean space are of special interest in Relativity Theory. In particular, the singularities of these lightlike hypersurfaces provide good models for the study of different horizon types. And we obtain some geometrical propositions of the canal hypersurfaces of Lorentzian surfaces.
Sun, Jianguo, Pei, Donghe
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$F$-thresholds of hypersurfaces [PDF]
19 pages; v.2: a slight modification of the argument allowed us to extend our results to the case of an arbitrary regular F-finite ring; v.3: final version, to appear in Transactions of the ...
Blickle, Manuel +2 more
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The Orlik-Solomon model for hypersurface arrangements [PDF]
We develop a model for the cohomology of the complement of a hypersurface arrangement inside a smooth projective complex variety. This generalizes the case of normal crossing divisors, discovered by P.
Clément Dupont
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Coisotropic hypersurfaces in Grassmannians [PDF]
22 ...
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