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ON DEVIATIONS AND SPREADS OF MEROMORPHIC MINIMAL SURFACES

Kowalski, Arnold 大阪大学 DOI:10.18910/73739

2020.01

概要

linna’s theory by introducing theory of meromorphic minimal surfaces [5, 6]. A surface S
is called a minimal if the mean curvature of S vanishes on all point on the surface ([7]). We
remind the main definitions and results of Beckenbach’s theory. We say that the surface
S = {x = (x1 , x2 , x3 ) ∈ R3 : xi = xi (u, v), i = 1, 2, 3, (u, v) ∈ D ⊂ R2 }
is given in terms of isothermal parameters u, v ([5]) if E = G, F = 0, where xi (u, v), i =
1, 2, 3, are a twice continuously differentiable real-valued functions for (u, v) ∈ D ⊂ R2 . ...

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参考文献

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On Deviations and Spreads

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Arnold Kowalski

School of Mathematics

West Pomeranian University of Technology

Szczecin 70–311

Poland

e-mail: Arnold.Kowalski@zut.edu.pl

Ivan Marchenko

Faculty of Mathematics and Physics

University of Szczecin

Szczecin 70–451

Poland

e-mail: iwan.marczenko@usz.edu.pl

...

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