| Title:
|
Some conditions for a surface in {$Esp 4$} to be a part of the sphere {$Ssp 2$} (English) |
| Author:
|
Bureš, Jarolím |
| Author:
|
Kaňka, Miloš |
| Language:
|
English |
| Journal:
|
Mathematica Bohemica |
| ISSN:
|
0862-7959 (print) |
| ISSN:
|
2464-7136 (online) |
| Volume:
|
119 |
| Issue:
|
4 |
| Year:
|
1994 |
| Pages:
|
367-371 |
| Summary lang:
|
English |
| . |
| Category:
|
math |
| . |
| 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. (English) |
| Keyword:
|
surfaces with boundary in Euclidean four-space |
| Keyword:
|
maximum principle for elliptic systems of PDE |
| MSC:
|
53A07 |
| MSC:
|
53C21 |
| idZBL:
|
Zbl 0862.53001 |
| idMR:
|
MR1316588 |
| DOI:
|
10.21136/MB.1994.126121 |
| . |
| Date available:
|
2009-09-24T21:06:54Z |
| Last updated:
|
2020-07-29 |
| Stable URL:
|
http://hdl.handle.net/10338.dmlcz/126121 |
| . |
| Reference:
|
[1] Bureš J.: Some remarks on surfaces in the 4-dimensional euclidean space.Czech. Math. Journal 25 (1975), 480-490. MR 0388283 |
| Reference:
|
[2] Švec A.: Seminar on global geometry.Prague, texts. |
| Reference:
|
[3] Vekua A.: Obobščennyje analytičeskije funkcii.Moskva, 1958. |
| . |
