Results 51 to 60 of about 1,716 (234)
Square root of a multivector in 3D Clifford algebras
Nonlinear Analysis, 2020 The problem of square root of multivector (MV) in real 3D (n = 3) Clifford algebras Cl3;0, Cl2;1, Cl1;2 and Cl0;3 is considered. It is shown that the square root of general 3D MV can be extracted in radicals.
Adolfas Dargys, Artūras Acus
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Dimer models and conformal structures
Communications on Pure and Applied Mathematics, Volume 79, Issue 2, Page 340-446, February 2026.Abstract Dimer models have been the focus of intense research efforts over the last years. Our paper grew out of an effort to develop new methods to study minimizers or the asymptotic height functions of general dimer models and the geometry of their frozen boundaries.
Kari Astala +3 more
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Advanced Photonics Research, Volume 7, Issue 1, January 2026.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
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Transversal Jacobi Operators in Almost Contact Manifolds
Mathematics, 2020 Along a transversal geodesic γ whose tangent belongs to the contact distribution D, we define the transversal Jacobi operator Rγ=R(·,γ˙)γ˙ on an almost contact Riemannian manifold M.
Jong Taek Cho, Makoto Kimura
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Complex submanifolds in real-analytic pseudoconvex hypersurfaces [PDF]
Proceedings of the National Academy of Sciences, 1977 A theorem is given that guarantees the existence of nontrivial complex analytic submanifolds in real-analytic pseudoconvex boundaries near real-analytic submanifolds with holomorphic vectorfields on which the Levi form vanishes. Applications to the δ̄-Neumann problem and to the existence of Stein neighborhoods are discussed.
Diederich, Klas, Fornaess, John Erik
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Holomorphically homogeneous real hypersurfaces in $\mathbb {C}^3$ [PDF]
Transactions of the Moscow Mathematical Society, 2021 This paper is to appear in the Proceeding of the Moscow Mathematical Society ("Trudy Moskovskogo Matematicheskogo Obshchestva"); it was submitted to the journal in March 2020. The current version is the original Russian one, and the English version is to appear soon.
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Time‐Domain Near‐Field Scanning Microscopy of Terahertz Metasurfaces
Advanced Photonics Research, Volume 7, Issue 1, January 2026.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
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On Irreducible Components of Real Exponential Hypersurfaces [PDF]
Arnold Mathematical Journal, 2017 Some minor changes.
Vorobjov, Nicolai, Riener, Cordian
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Families of singular algebraic varieties that are rationally elliptic spaces
Mathematische Nachrichten, Volume 299, Issue 1, Page 214-223, January 2026.Abstract We discuss families of hypersurfaces with isolated singularities in projective space with the property that the sum of the ranks of the rational homotopy and the homology groups is finite. They represent infinitely many distinct homotopy types with all hypersurfaces having a nef canonical or anti‐canonical class.
A. Libgober
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Real Hypersurfaces with Many Simple Singularities
Revista Matemática Complutense, 2005 This paper extends the results of \textit{E. Shustin} and \textit{E. Westenberger} [J. Lond. Math. Soc., II. Ser. 70, No. 3, 609--624 (2004; Zbl 1075.14034)] on the existence of algebraic hypersurfaces with prescribed simple singularities to the real case.
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