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Bureš, Jarolím ; Kaňka, Miloš
Some conditions for a surface in {$Esp 4$} to be a part of the sphere {$Ssp 2$}. (English). Mathematica Bohemica, vol. 119 (1994), issue 4, pp. 367-371
MSC: 53A07, 53C21 | MR 1316588 | Zbl 0862.53001 | DOI: 10.21136/MB.1994.126121
Keywords:
surfaces with boundary in Euclidean four-space; maximum principle for elliptic systems of PDE
Summary:
In this paper some properties of an immersion of two-dimensional surface with boundary into {$Esp 4$} are studied. The main tool is the maximal principle property of a solution of the elliptic system of partial differential equations. Some conditions for a surface to be a part of a 2-dimensional spheren in {$Esp 4$} are presented.
References:
[1] Bureš J.: Some remarks on surfaces in the 4-dimensional euclidean space. Czech. Math. Journal 25 (1975), 480-490. MR 0388283
[2] Švec A.: Seminar on global geometry. Prague, texts.
[3] Vekua A.: Obobščennyje analytičeskije funkcii. Moskva, 1958.
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