Results 51 to 60 of about 1,358 (218)
Let F ∈ Z [ x 0 , … , x n ] F \in \mathbb {Z}[x_0, \ldots , x_n] be homogeneous of degree d d and assume that F F is not a ‘nullform’, i.e., there is an invariant
Elsenhans, Andreas-Stephan +1 more
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Causal hierarchy in modified gravity
We investigate the causal hierarchy in various modified theories of gravity. In general relativity the standard causal hierarchy, (key elements of which are chronology, causality, strong causality, stable causality, and global hyperbolicity), is well ...
Raúl Carballo-Rubio +3 more
doaj +1 more source
The Methylbismuth Dication: Pentagonal Pyramidal Coordination and Ligand‐Induced Lewis Superacidity
The simplistic methylbismuth dication has been captured only by the aid of monodentate tetrahydrofuran (thf) ligands, [BiMe(thf)5]2+. The hexacoordinate species shows a very unusual pentagonal pyramidal coordination geometry. Unparalleled Lewis acidic and Lewis superacidic properties have been revealed by exploiting the coordination chemical properties
Johannes Schwarzmann +3 more
wiley +1 more source
Area minimizing hypersurfaces with isolated singularities.
The authors consider the following situation: C is a minimal hypercone in \({\mathbb{R}}^{n+1}\), singular only at the origin, which is strictly minimizing in the sense that there is \(\theta >0\) such that \({\mathbb{M}}(C_ 1)\leq {\mathbb{M}}(S)-\theta \epsilon^ n\) whenever \(\epsilon >0\) and S is an integer multiplicity current with spt \(S\subset
Simon, Leon, Hardt, Robert
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Minimal hypersurfaces in Rn as regular values of a function
In this paper we prove that if M = /_1(0) is a minimal hypersurface of Rn, where / : V C Rn -► R is a smooth function defined on a open set V, then / must satisfy the equation |V/|2A/ = |(V|V/|2,V/} for every x € M.
Óscar Mario Perdomo
doaj
Frankel property and Maximum Principle at Infinity for complete minimal hypersurfaces [PDF]
José M. Espinar, Harold Rosenberg
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This article proposes a symmetry‐protected bound states in the continuum mechanism based on borophene metamaterials, achieving dual‐band broadband coherent perfect absorption (CPA) in the near‐infrared spectrum. By dynamically modulating carrier concentration, the operational bandwidth of CPA can be significantly expanded, effectively overcoming the ...
Xue‐Yan Wu +5 more
wiley +1 more source
Strongly minimal complex lightlike hypersurfaces
In this paper, complex lightlike hypersurfaces of an indefinite Kähler manifold are studied. An optimal inequality characterized to strongly minimality for coisotropic lightlike submanifolds is proved. Strongly minimal Monge-type hypersurfaces in $\mathcal{C}_{1}^{4}$ are examined and some examples of these hypersurfaces are given.
Mehmet GÜLBAHAR, Erol KILIÇ
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Time‐Domain Near‐Field Scanning Microscopy of Terahertz Metasurfaces
Time‐domain near‐field scanning terahertz microscopy provides direct access to subwavelength electromagnetic fields on metasurfaces. By combining controlled polarization excitation with nanoscale probing, this technique enables quantitative visualization of localized hotspots, surface‐wave propagation, and wavefront manipulation, offering a powerful ...
Ruxue Wei, Soren Petersen, Weili Zhang
wiley +1 more source
MINIMAL HYPERSURFACES ASYMPTOTIC TO SIMONS CONES [PDF]
In this paper, we prove that, up to similarity, there are only two minimal hypersurfaces in $\mathbb{R}^{n+2}$ that are asymptotic to a Simons cone, i.e., the minimal cone over the minimal hypersurface $\sqrt{\frac{p}{n}}\mathbb{S}^{p}\times \sqrt{\frac{n-p}{n}}\mathbb{S}^{n-p}$ of $\mathbb{S}^{n+1}$.
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