Results 101 to 110 of about 73,367 (201)

The Viro Method for Construction of Piecewise Algebraic Hypersurfaces

Abstract and Applied Analysis, 2013
We propose a new method to construct a real piecewise algebraic hypersurface of a given degree with a prescribed smoothness and topology. The method is based on the smooth blending theory and the Viro method for construction of Bernstein-Bézier algebraic
Yisheng Lai, Weiping Du, Renhong Wang
doaj   +1 more source

On the RICCI Metric of a Hypersurface

Mathematische Nachrichten, 1991
Assume the Riemannian manifold \((M,\langle\;,\;\rangle)\) to have positive Ricci curvature; then by the Ricci tensor a second Riemannian metric, denoted by \(\langle\;,\;\rangle_ *\), is defined on \(M\). In the present paper the author studies this metric on ovaloids in Euclidean space \(E^{n+1}\).
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Embedded positive constant r-mean curvature hypersurfaces in Mm × R

Anais da Academia Brasileira de Ciências, 2005
Let M be an m-dimensional Riemannian manifold with sectional curvature bounded from below. We consider hypersurfaces in the (m + 1)-dimensional product manifold M x R with positive constant r-mean curvature.
Cheng Xu, Rosenberg Harold
doaj  

On the structure vector field of a real hypersurface in complex quadric

Open Mathematics, 2018
From the notion of Jacobi type vector fields for a real hypersurface in complex quadric Qm we prove that if the structure vector field is of Jacobi type it is Killing when the real hypersurface is either Hopf or compact.
Dios Pérez Juan de
doaj   +1 more source

Curvatures of the Factorable Hypersurface

Journal of Advances in Mathematics and Computer Science, 2020
The curvatures    of a factorable hypersurface are introduced in the four-dimensional Euclidean space. It is also given some relations on  of the factorable hypersurface.
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Hypersurface Arrangements with Generic Hypersurfaces Added

19 pages, 3 figures, 2 ...
Reinke, Bernhard, Wang, Kexin
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Modeling the boundaries of the working space of a planar three-link manipulator

Омский научный вестник
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.
T. A. Sheveleva, A. A. Lyashkov
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A note about almost contact metric hypersurfaces axioms for almost Hermitian manifolds

Дифференциальная геометрия многообразий фигур
From 1950s, it is known that an almost contact metric structure is in­duced on an arbitrary oriented hypersurface in an almost Hermitian mani­fold. In accordance with the definition, an almost Hermitian manifold satisfies the axiom of almost contact ...
A. Abu-Saleem, M. B. Banaru, G. A. Banaru   +2 more
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Canonical liftings of Calabi–Yau hypersurfaces: Dwork hypersurfaces

manuscripta mathematica
Abstract We explicitly compute canonical liftings modulo $$p^2$$ p 2 in a sense of Achinger–Zdanowicz of Dwork hypersurfaces.
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Global hypersurfaces of section for geodesic flows on convex hypersurfaces

Archiv der Mathematik
We construct a global hypersurface of section for the geodesic flow of a convex hypersurface in Euclidean space admits an isometric involution. This generalizes the Birkhoff annulus to higher dimensions.
Sunghae Cho, Dongho Lee
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