Results 111 to 120 of about 42,946 (260)

Maximum principles for hypersurfaces with vanishing curvature functions in an arbitrary Riemannian manifold

Anais da Academia Brasileira de Ciências, 2002
In this paper we generalize and extend to any Riemannian manifold maximum principles for Euclidean hypersurfaces with vanishing curvature functions obtained by Hounie-Leite.Neste trabalho nós generalizamos e estendemos para uma variedade Riemanniana ...
FRANCISCO X. FONTENELE, SÉRGIO L. SILVA
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Some submersions of CR-hypersurfaces of Kaehler-Einstein manifold

International Journal of Mathematics and Mathematical Sciences, 2003
The Riemannian submersions of a CR-hypersurface M of a Kaehler-Einstein manifold M˜ are studied. If M is an extrinsic CR-hypersurface of M˜, then it is shown that the base space of the submersion is also a Kaehler-Einstein manifold.
Vittorio Mangione
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Modeling the boundaries of the working space of a planar three-link manipulator [PDF]

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. On its basis, it is established that outer space consists
T. A. Sheveleva, A. A. Lyashkov
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Right Conoids Demonstrating a Time-like Axis within Minkowski Four-Dimensional Space

Mathematics
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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$P$-cyclic symmetric closed characteristics on compact convex $P$-cyclic symmetric hypersurface in R 2n

, 2012
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

Extended Darboux frame curvatures of Frenet curves lying on parametric 3-surfaces

Kuwait Journal of Science, 2019
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  

Quantum fields and entanglement on a curved lightfront

Physics Letters B, 2015
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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On an integral formula on hypersurfaces in general relativity [PDF]

, 1997
Jörg Frauendiener, Jörg Frauendiener
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Hypersurface Arrangements with Generic Hypersurfaces Added

19 pages, 3 figures, 2 ...
Reinke, Bernhard, Wang, Kexin
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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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