Results 141 to 150 of about 455 (156)

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
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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].
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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)].
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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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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)].
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A Weierstrass type representation for translating solitons and singular minimal surfaces

Journal of Mathematical Analysis and Applications, 2022
Antonio Martinez
exaly  

Weierstrass representation for timelike surfaces in Minkowski 4-space

Journal of Geometry, 2021
Davor Devald
exaly  

Representations of nonlinear systems via the stone-weierstrass theorem

Automatica, 1976
Philip G. Gallman, K. S. Narendra
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The Weierstrass representation for complete minimal real Kaehler submanifolds of codimension two

Inventiones Mathematicae, 1995
Marcos Dajczer
exaly  

Weierstrass representation for surfaces in the three-dimensional Heisenberg group

Chinese Annals of Mathematics Series B, 2009
Qun Chen, Hongbing Qiu, Qiu Hongbing
exaly