Results 61 to 70 of about 85,527 (236)
Singularities of spherical surface in R4
Open MathematicsIn this article, we mainly study the geometric properties of spherical surface of a curve on a hypersurface Σ\Sigma in four-dimensional Euclidean space.
Liu Haiming, Hua Yuefeng, Li Wanzhen
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The DNA of Calabi–Yau Hypersurfaces
Fortschritte der Physik, Volume 74, Issue 2, February 2026.Abstract Genetic Algorithms are implemented for triangulations of four‐dimensional reflexive polytopes, which induce Calabi–Yau threefold hypersurfaces via Batyrev's construction. These algorithms are shown to efficiently optimize physical observables such as axion decay constants or axion–photon couplings in string theory compactifications.
Nate MacFadden +2 more
wiley +1 more source
Motivic Milnor fiber of a quasi-ordinary hypersurface [PDF]
, 2011 Let $f$ be a germ of complex analytic function at $({\mathbf{C}}^{d+1}, 0)$ such that its zero level defines an irreducible germ of quasi-ordinary hypersurface $(S,0)$.
Perez, Pedro Daniel Gonzalez +1 more
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On the stability of minimal cones in warped products
, 2014 In a seminal paper published in $1968$, J. Simons proved that, for $n\leq 5$, the Euclidean (minimal) cone $CM$, built on a closed, oriented, minimal and non totally geodesic hypersurface $M^n$ of $\mathbb S^{n+1}$ is unstable.
Bezerra, K. S., Caminha, A., Lima, B. P.
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Journal of Inequalities and Applications, 2018 Given a null hypersurface of a Lorentzian manifold, we isometrically immerse a null hypersurface equipped with the Riemannian metric (induced on it by the rigging) into a Riemannian manifold suitably constructed on the Lorentzian manifold.
Karimumuryango Ménédore
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The Methylbismuth Dication: Pentagonal Pyramidal Coordination and Ligand‐Induced Lewis Superacidity
Angewandte Chemie International Edition, Volume 65, Issue 1, 2 January 2026.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
Deformation of Hypersurfaces Preserving the Moebius Metric and a Reduction Theorem
, 2014 A hypersurface without umbilics in the n+1 dimensional Euclidean space is known to be determined by the Moebius metric and the Moebius second fundamental form up to a Moebius transformation when n>2.
Li, Tongzhu, Ma, Xiang, Wang, Changping
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Isoparametric and Dupin Hypersurfaces
Symmetry, Integrability and Geometry: Methods and Applications, 2008 A hypersurface $M^{n−1}$ in a real space-form $R^n$, $S^n$ or $H^n$ is isoparametric if it has constant principal curvatures. For $R^n$ and $H^n$, the classification of isoparametric hypersurfaces is complete and relatively simple, but as Élie Cartan ...
Thomas E. Cecil
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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
wiley +1 more source
Convergent normal form for real hypersurfaces at generic Levi degeneracy [PDF]
, 2014 We construct a complete convergent normal form for a real hypersurface in $\CC{N},\,N\geq 2$ at generic Levi degeneracy. This seems to be the first convergent normal form for a Levi-degenerate hypersurface.
Kossovskiy, Ilya, Zaitsev, Dmitri
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