Results 21 to 30 of about 455 (156)
Family of Enneper Minimal Surfaces
Mathematics, 2018 We consider a family of higher degree Enneper minimal surface E m for positive integers m in the three-dimensional Euclidean space E 3 . We compute algebraic equation, degree and integral free representation of Enneper minimal surface for
Erhan Güler
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A Stone‐Weierstrass theorem for group representations [PDF]
International Journal of Mathematics and Mathematical Sciences, 1978 It is well known that if G is a compact group and π a faithful (unitary) representation, then each irreducible representation of G occurs in the tensor product of some number of copies of π and its contragredient. We generalize this result to a separable type I locally compact group G as follows: let π be a faithful unitary representation whose matrix ...
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Weierstrass Representations of Lorentzian Minimal Surfaces in $$\mathbb R^4_2$$ [PDF]
Mediterranean Journal of Mathematics, 2020 12 ...
Ognian Kassabov, Velichka Milousheva
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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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Loop Weierstrass Representation
Differential Geometry and its ApplicationsWe introduce the Loop Weierstrass Representation for minimal surfaces in Euclidean space and constant mean curvature 1 surfaces in hyperbolic space by applying integral system methods to the Weierstrass and Bryant representations. We unify associated families, dual surfaces and Goursat transformations under the same holomorphic data, we introduce a ...
Thomas Raujouan +2 more
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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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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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Energy Science &Engineering, EarlyView.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
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