Results 161 to 170 of about 1,461,926 (181)

Representation of Weierstrass integral via Poisson integrals

Journal of Mathematical Sciences, 2021
In 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 Shutovskyi
exaly   +3 more sources

Weierstrass Representation of Some Simply-Periodic Minimal Surfaces

Annals of Global Analysis and Geometry, 2001
In a previous paper [Ann. Inst. Fourier 46, 1385--1442 (1996; Zbl 0860.53004)], the author constructed simply-periodic minimal surfaces by desingularization of a set of vertical planes using the techniques developed by \textit{N. Kapouleas} [Ann. Math. (2) 131, 239--330 (1990; Zbl 0699.53007)].
Martin Traizet
exaly   +2 more sources

Weierstrass Type Representation of Willmore Surfaces in S n

Acta Mathematica Sinica, English Series, 2004
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Xia, Qiaoling, Shen, Yibing
exaly   +3 more sources

A Weierstrass Representation Formula for Minimal Surfaces in ℍ3 and ℍ2 × ℝ

Acta Mathematica Sinica, English Series, 2005
We 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.
Stefano Montaldo, Francesco Mercuri
exaly   +3 more sources

Weierstrass Representation of Lightlike Surfaces in Lorentz-Minkowski 4-Space

International Electronic Journal of Geometry, 2023
We present a Weierstrass-type representation formula which locally represents every regular two-dimensional lightlike surface in Lorentz-Minkowski 4-Space $\mathbb{M}^4$ by three dual functions $(\rho,f,g)$ and generalizes the representation for regular lightlike surfaces in $\mathbb{M}^3$. We give necessary and sufficient conditions on the functions $\
Davor Devald, Z. Milin Sipus
openaire   +3 more sources

Weierstrass type representations

2001
The theory for finite type solutions developped in Chapter 8 can be generalized in order to represent all harmonic maps from a simply connected surface to symmetric spaces like the sphere S2. This has been developped by J. Dorfmeister, F. Pedit and H.Y. Wu and leads to a Weierstrass type representation [30].
openaire   +1 more source

A Weierstrass representation theorem for Lorentz surfaces

Complex Variables, Theory and Application: An International Journal, 2005
We consider functions with values in the algebra of Lorentz numbers which are differentiable with respect to the algebraic structure of as an analogue of holomorphic functions. Then we apply these functions to prove a Weierstrass representation theorem for Lorentz surfaces immersed in the space .
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The global Weierstrass representation and its spectrum

Russian Mathematical Surveys, 1997
In this short note the author gives an outline of his results on the global Weierstraß representation of closed oriented surfaces and its spectrum. For details the reader is refered to \textit{I. A. Taimanov} [Am. Math. Soc. Transl. 179(33), 133-151 (1997; Zbl 0896.53006); Ann. Global Anal. Geom. 15, No. 5, 419-435 (1997; Zbl 0896.53007)].
openaire   +2 more sources

A Weierstrass type representation for translating solitons and singular minimal surfaces

Journal of Mathematical Analysis and Applications, 2022
Antonio López Martínez
exaly  

Weierstrass representation for timelike surfaces in Minkowski 4-space

Journal of Geometry, 2021
Davor Devald
exaly