Results 71 to 80 of about 455 (156)
Generalized Weierstrass representation for surfaces in Heisenberg spaces
Differential Geometry and its Applications, 2012 It is well-known that constant mean curvature surfaces immersed in Euclidean \(3\)-space admit an integral representation in terms of their Gauss maps which resembles the classical Weierstrass representation for minimal surfaces, and these also have harmonic Gauss map with target given by some Grassmannian space.
Alías, Luis J. +2 more
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The Weierstrass Representation always gives a minimal surface
, 2012 4 pages, 2 ...
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A generalized Weierstrass representation of Lorentzian surfaces in ℝ2,2 and applications [PDF]
International Journal of Geometric Methods in Modern Physics, 2016 We give a generalized Weierstrass formula for a Lorentz surface conformally immersed in the four-dimensional space [Formula: see text] using spinors and Lorentz numbers. We also study the immersions of a Lorentzian surface in the Anti-de Sitter space (a pseudo-sphere in [Formula: see text]): we give a new spinor representation formula and deduce the ...
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Journal of Mathematical Analysis and Applications, 1985 This article is reviewed together with the following one.
BRANDI, Primo, SALVADORI, Anna
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Weierstrass representation for minimal surfaces in hyperbolic space
Tohoku Mathematical Journal, 1997 The author intends to give a Weierstrass kind formula for minimal surfaces in hyperbolic space. He defines a notion of Gauss map and proves some statements.
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An action for a classical string, the equation of motion and group invariant classical solutions
Open Physics, 2008 Bracken Paul
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Contact Characteristics Analysis of Tooth Surface Microscopic Morphology Based on the Fractal Theory
Jixie chuandongHow to effectively calculate the contact stiffness of the joint surface and analyze the influence of the joint surface stiffness on the dynamic characteristics of the overall structure is one of the important subjects in the study of mechanical ...
Sun Zhenmao +3 more
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Linear stability and dispersive soliton propagation in nonlinear media subject to parabolic phase modulation. [PDF]
Sci RepMorgan M, Ahmed HM, Sayed M, Soliman M.
europepmc +1 more source
A twistorial interpretation of the Weierstrass representation formulae [PDF]
The theory of minimal surfaces represents an important chapter\ud in the study of global analysis and remains a testing ground for our\ud understanding of the non-linear partial differential equations of\ud geometry. Perhaps its greatest charm lies in its mercurial avoidance\ud of isolation.
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