Results 31 to 40 of about 1,461,926 (181)
The hypersurfaces with conformal normal Gauss map in Hn+1 and S1n+1
Anais da Academia Brasileira de Ciências, 2008 In this paper, we introduce the fourth fundamental forms for hypersurfaces in Hn+1 and space-like hypersurfaces in S1n+1, and discuss the conformality of the normal Gauss map of the hypersurfaces in Hn+1 and S1n+1.
Shuguo Shi
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Torus solutions to the Weierstrass-Enneper representation of surfaces [PDF]
Journal of Mathematical Physics, 2019 In this paper, we present a torus solution to the generalized Weierstrass-Enneper representation of surfaces in R4. The key analytical technique will be Bloch wave functions with complex wave vectors. We will also discuss some possible uses of these solutions which derive from their explicit nature, such as Dehn surgery and the physics of exotic smooth
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Constructive Solution of Ellipticity Problem for the First Order Differential System
Моделирование и анализ информационных систем, 2017 We built first order elliptic systems with any possible number of unknown functions and the maximum possible number of unknowns, i.e, in general. These systems provide the basis for studying the properties of any first order elliptic systems.
Vladimir E. Balabaev
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Nuclear Physics B, 2016 Box graphs succinctly and comprehensively characterize singular fibers of elliptic fibrations in codimension two and three, as well as flop transitions connecting these, in terms of representation theoretic data.
Andreas P. Braun, Sakura Schäfer-Nameki
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A Complex‐Frequency Framework for Kerker Unidirectionality in Photonic Resonators
Laser &Photonics Reviews, EarlyView.ABSTRACT Electromagnetic scattering exhibits various anomalous behaviors, such as forward or backward scattering effects known as the Kerker conditions. These anomalies appear in non‐Hermitian photonic resonators and are mathematically described by operators with complex eigenfrequencies.
Loubnan Abou Hamdan +8 more
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Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space [PDF]
Journal of Nonlinear Mathematical Physics, 2002 Several classes of solutions of the generalized Weierstrass system, which induces constant mean curvature surfaces into four-dimensional Euclidean space are constructed. A gauge transformation allows us to simplify the system considered and derive factorized classes of solutions. A reduction of the generalized Weierstrass system to decoupled CP^1 sigma
Bracken, P., Grundland, A. M.
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Towards exotic matter and discrete non-abelian symmetries in F-theory
Journal of High Energy Physics, 2018 We present a prescription in F-theory for realizing matter in “exotic” representations of product gauge groups. For 6D vacua, bifundamental hypermultiplets are engineered by starting at a singular point in moduli space which includes 6D superconformal ...
Mirjam Cvetič +2 more
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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
Mathematical Methods in the Applied Sciences, EarlyView.ABSTRACT In this study, we delve into the stochastic Hirota–Maccari system, which is subjected to multiplicative noise according to the Itô sense. The stochastic Hirota–Maccari system is significant for its ability to accurately model how stochastic affects nonlinear wave propagation, providing valuable insights into complex systems like fluid dynamics
Mohamed E. M. Alngar +3 more
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A Weierstrass type representation for minimal surfaces in Sol [PDF]
Proceedings of the American Mathematical Society, 2008 The normal Gauss map of a minimal surface in the model space S o l \mathrm {Sol}
Inoguchi, Jun-Ichi, Lee, Sungwook
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Properties of the series solution for Painlevé I [PDF]
, 2013 We present some observations on the asymptotic behaviour of the coefficients in the Laurent series expansion of solutions of the first Painlevé equation.
Ragnisco, Orlando +3 more
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