Results 31 to 40 of about 1,025 (192)
Torus solutions to the Weierstrass-Enneper representation of surfaces [PDF]
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
openaire +2 more sources
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
doaj +1 more source
Towards exotic matter and discrete non-abelian symmetries in F-theory
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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Weierstrass representation in Riemannian and Lorentzian manifolds
O Teorema de Representação de Weierstrass clássico, que faz uso da análise complexa para descrever uma superfície mínima imersa no espaço Euclidiano em termos de dados holomorfos, tem sido extremamente útil seja para construir novos exemplos de ...
Emanoel Mateus dos Santos Freire +1 more
core +1 more source
Solutions of the Generalized Weierstrass Representation in Four-Dimensional Euclidean Space [PDF]
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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The low‐field nuclear magnetic resonance (NMR) measurements are applied to investigate the seepage characteristics of the single rough joint. The purpose of this paper is to investigate the seepage characteristics of granite specimens with single‐joint channel under the different roughness, confining pressures and seepage pressures.
Hao Cheng, Xiujie Zhong
wiley +1 more source
Implicit Equations of the Henneberg-Type Minimal Surface in the Four-Dimensional Euclidean Space
Considering the Weierstrass data as ( ψ , f , g ) = ( 2 , 1 - z - m , z n ) , we introduce a two-parameter family of Henneberg-type minimal surface that we call H m , n for positive integers ( m , n ) by using the ...
Erhan Güler +2 more
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A Weierstrass type representation for minimal surfaces in Sol [PDF]
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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Unveiling New Perspectives on the Hirota–Maccari System With Multiplicative White Noise
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
wiley +1 more source
A note on the generalized Weierstrass representation
8 pages ...
Martina, L. +2 more
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