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Non-trivial Fixed Point of a ψ d 4 Fermionic Theory, II: Anomalous Exponent and Scaling Operators. [PDF]
Commun Math PhysGiuliani A +3 more
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Quantum circuit simulation with a local time-dependent variational principle
Eisert J +8 more
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Weierstrass representation for minimal surfaces in hyperbolic space
Weierstrass representation for minimal surfaces in hyperbolic spaceopenaire
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Representation of Weierstrass integral via Poisson integrals
Journal of Mathematical Sciences, 2021In our research, we have presented a second-order linear partial differential equation in polar coordinates. Considering this differential equation on the unit disk, we have obtained a one-dimensional heat equation. It is well-known that the heat equation can be solved taking into account the boundary condition for the general solution on the unit ...
Arsen M Shutovskyi
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A Weierstrass Representation for Minimal Surfaces in 3-Dimensional Manifolds
Results in Mathematics, 2011This paper represents a brief survey on the classical Weierstrass representation of minimal surfaces in three-dimensional manifolds, including but not limited to the three-dimensional Euclidean space, the three-dimensional Lorentz-Minkowski space; the Heisenberg group; the hyperbolic space, the de-Sitter space.
Lira, J. H., Melo, M., Mercuri, F.
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Weierstrass Type Representation of Willmore Surfaces in S n
Acta Mathematica Sinica, English Series, 2004zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Xia, Qiaoling, Shen, Yibing
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A Weierstrass Representation Formula for Minimal Surfaces in ℍ3 and ℍ2 × ℝ
Acta Mathematica Sinica, English Series, 2005We give a general setting for constructing a Weierstrass representation formula for simply connected minimal surfaces in a Riemannian manifold. Then, we construct examples of minimal surfaces in the three dimensional Heisenberg group and in the product of the hyperbolic plane with the real line.
S Montaldo +2 more
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The weierstrass representation and the classical examples
Lecture Notes in Mathematics, 1986J. Lucas M. Barbosa, A. Gervasio Colares
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Representation of Functions as Weierstrass- Transforms
Canadian Mathematical Bulletin, 1967The Weierstrass - respectively Weierstrass - Stieltjes transform of a function F(t) or μ(t) is defined by1.1and1.2for all x for which these integrals converge. In what follows we shall always assume that F(t) is Lebesgue integrable in every finite interval and that μ(t) is a function of bounded variation.
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