Results 131 to 140 of about 112,777 (272)
Modeling the boundaries of the working space of a planar three-link manipulator [PDF]
A study of the boundaries of the working space of a three-link planar manipulator, specified by analytical equations, is carried out. A new geometric interpretation of these samples is proposed. On its basis, it is established that outer space consists
T. A. Sheveleva, A. A. Lyashkov
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Convergence of formal embeddings between real-analytic hypersurfaces in codimension one
We show that every formal embedding sending a real-analytic strongly pseudoconvex hypersurface in $M\subset \C^N$ into another such hypersurface in $M'\subset \C^{N+1}$ is convergent.
Mir, Nordine
core +2 more sources
Let Σ be a $C^2$ compact strictly convex hypersurface in R2n with $n\ge 2$. Suppose $PΣ=Σ$ with $P$ being a $2n\times 2n$ symplectic and orthogonal matrix and $P^r=I_{2n}$.
Duanzhi Zhang
semanticscholar +1 more source
Hypersurface Arrangements with Generic Hypersurfaces Added
19 pages, 3 figures, 2 ...
Reinke, Bernhard, Wang, Kexin
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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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The Möbius geometry of hypersurfaces [PDF]
It is a familiar fact in several complex variables that the hermitian quadratic form Lr,p is invariant under biholomorphism. (Restricted to the complex tangent space, this is exactly the Levi form.) It is less familiar that the non-hermitian form Qr,p is invariant under Mobius transformation when restricted to the complex tangent space.
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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
doaj
$L_r$-biharmonic hypersurfaces in $\mathbb{E}^4$
A hypersurface $x : M^n\rightarrow\mathbb{E}^{n+1}$ is said to be biharmonic if $\Delta^2x=0$, where $\Delta$ is the Laplace operator of $M^n$. Based on a well-known conjecture of Bang-Yen Chen, the only biharmonic hypersurfaces in $E^{n+1}$ are the ...
Akram Mohammadpouri, Firooz Pashaei
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Gap Phenomenon of an Abstract Willmore Type Functional of Hypersurface in Unit Sphere
For an n-dimensional hypersurface in unit sphere, we introduce an abstract Willmore type called Wn,F-Willmore functional, which generalizes the well-known classic Willmore functional. Its critical point is called the Wn,F-Willmore hypersurface, for which
Yanqi Zhu, Jin Liu, Guohua Wu
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Some integral formulas for closed hypersurfaces in Riemannian space [PDF]
C. C. Hsiung
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