Results 111 to 120 of about 85,527 (236)
Uniqueness and non‐uniqueness for the asymptotic Plateau problem in hyperbolic space
Proceedings of the London Mathematical Society, Volume 132, Issue 1, January 2026.Abstract We prove several results on the number of solutions to the asymptotic problem in H3$\mathbb {H}^3$. Firstly, we discuss criteria that ensure uniqueness. Given a Jordan curve Λ$\Lambda$ in the asymptotic boundary of H3$\mathbb {H}^3$, we show that uniqueness of the minimal surfaces with asymptotic boundary Λ$\Lambda$ is equivalent to uniqueness
Zheng Huang, Ben Lowe, Andrea Seppi
wiley +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
doaj +1 more source
Stable H-Minimal Hypersurfaces [PDF]
The Journal of Geometric Analysis, 2013 34 ...
openaire +3 more sources
Hadamard States from Light-like Hypersurfaces [PDF]
, 2017 Claudio Dappiaggi +2 more
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Hypersurface Arrangements with Generic Hypersurfaces Added
19 pages, 3 figures, 2 ...
Reinke, Bernhard, Wang, Kexin
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Closed hypersurfaces of
, 1997 Sebastião C. de Almeida, Fabiano Brito
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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 translation hypersurfaces with Gauss map G satisfying ΔG=AG [PDF]
, 2019 Gülşah Aydın Şekerci̇ +2 more
openalex +1 more source
Some Integral Formulas for the (r + 1)th Mean Curvature of a Closed Hypersurface
International Journal of Mathematics and Mathematical Sciences, 2012 By using the operator 𝐿𝑟, we define the notions of rth order and rth type of a Euclidean hypersurface. By the use of these notions, we are able to obtain some sharp estimates of the (𝑟+1)th mean curvature for a closed hypersurface of the Euclidean space ...
Akram Mohammadpouri, S. M. B. Kashani
doaj +1 more source