Some conditions for a surface in {$Esp 4$} to be a part of the sphere {$Ssp 2$}
Mathematica Bohemica, Tome 119 (1994) no. 4, pp. 367-371
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MR Zbl
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.
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.
DOI :
10.21136/MB.1994.126121
Classification :
53A07, 53C21
Keywords: surfaces with boundary in Euclidean four-space; maximum principle for elliptic systems of PDE
Keywords: surfaces with boundary in Euclidean four-space; maximum principle for elliptic systems of PDE
Bureš, Jarolím; Kaňka, Miloš. Some conditions for a surface in {$Esp 4$} to be a part of the sphere {$Ssp 2$}. Mathematica Bohemica, Tome 119 (1994) no. 4, pp. 367-371. doi: 10.21136/MB.1994.126121
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title = {Some conditions for a surface in {$Esp 4$} to be a part of the sphere {$Ssp 2$}},
journal = {Mathematica Bohemica},
pages = {367--371},
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[1] Bureš J.: Some remarks on surfaces in the 4-dimensional euclidean space. Czech. Math. Journal 25 (1975), 480-490. | MR
[2] Švec A.: Seminar on global geometry. Prague, texts.
[3] Vekua A.: Obobščennyje analytičeskije funkcii. Moskva, 1958.
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