Results 11 to 20 of about 455 (156)
Minimal surfaces with non-trivial geometry in the three-dimensional Heisenberg group
We study symmetric minimal surfaces in the three-dimensional Heisenberg group Nil3 using the generalized Weierstrass type representation, the so-called loop group method.
Dorfmeister Josef F. +2 more
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We consider the Enneper family of real maximal surfaces via Weierstrass data (1,ζm) for ζ∈C, m∈Z≥1. We obtain the irreducible surfaces of the family in the three dimensional Minkowski space E2,1.
Erhan Güler
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(ζ−m, ζm)-Type Algebraic Minimal Surfaces in Three-Dimensional Euclidean Space
We introduce the real minimal surfaces family by using the Weierstrass data (ζ−m,ζm) for ζ∈C, m∈Z≥2, then compute the irreducible algebraic surfaces of the surfaces family in three-dimensional Euclidean space E3. In addition, we propose that family has a
Erhan Güler, Ömer Kişi
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ON A CARLEMAN PROBLEM IN THE CASE OF A DOUBLY PERIODIC GROUP
Let Г be a doubly periodic group whose fundamental region 𝐷 is a rectangle, in which the ratio of the largest side to the shortest one does not exceed 3.
F. N. Garif’yanov, E. V. Strezhneva
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WEIERSTRASS–KENMOTSU REPRESENTATION OF WILLMORE SURFACES IN SPHERES [PDF]
A Willmore surface $y:M\rightarrow S^{n+2}$ has a natural harmonic oriented conformal Gauss map $Gr_{y}:M\rightarrow SO^{+}(1,n+3)/SO(1,3)\times SO(n)$, which maps each point $p\in M$ to its oriented mean curvature 2-sphere at $p$. An easy observation shows that all conformal Gauss maps of Willmore surfaces satisfy a restricted nilpotency condition ...
JOSEF F. DORFMEISTER, PENG WANG
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In this manuscript, the improved modified extended tanh integration technique is implemented to investigate the exact solutions of stochastic Ginzburg–Landau model driven by Wiener process which appeared in various fields of chemistry, mathematics and ...
Yazid Alhojilan, Hamdy M. Ahmed
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Influence of the fractures roughness of rock on fluid flow by the lattice Boltzmann method
Objective The morphological structure of the fractures in the rock mass is complex, and the fissures rough characteristics of the rock have a great influence on the permeability of the fractures.
Jigang Wang +3 more
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Efficient computation of pairings on Jacobi quartic elliptic curves
This paper proposes the computation of the Tate pairing, Ate pairing and its variations on the special Jacobi quartic elliptic curve Y2=dX4+Z4$Y^{2}=dX^{4}+Z^{4}$.
Duquesne Sylvain +2 more
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Representation theorems for the weierstrass transform [PDF]
In this paper we shall be interested in the Weierstrass transform defined by (1.1.) converging (conditionally) for x in some interval, where (1.2) .
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Infinite Matrix Products and the Representation of the Matrix Gamma Function
We introduce infinite matrix products including some of their main properties and convergence results. We apply them in order to extend to the matrix scenario the definition of the scalar gamma function given by an infinite product due to Weierstrass.
J.-C. Cortés +3 more
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