Some conditions for a surface in to be a part of the sphere
Mathematica Bohemica (1994)
- Volume: 119, Issue: 4, page 367-371
- ISSN: 0862-7959
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topBureš, Jarolím, and Kaňka, Miloš. "Some conditions for a surface in $Esp 4$ to be a part of the sphere $Ssp 2$." Mathematica Bohemica 119.4 (1994): 367-371. <http://eudml.org/doc/29275>.
@article{Bureš1994,
abstract = {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.},
author = {Bureš, Jarolím, Kaňka, Miloš},
journal = {Mathematica Bohemica},
keywords = {surfaces with boundary in Euclidean four-space; maximum principle for elliptic systems of PDE; surfaces with boundary in Euclidean four-space; maximum principle for elliptic systems of PDE},
language = {eng},
number = {4},
pages = {367-371},
publisher = {Institute of Mathematics, Academy of Sciences of the Czech Republic},
title = {Some conditions for a surface in $Esp 4$ to be a part of the sphere $Ssp 2$},
url = {http://eudml.org/doc/29275},
volume = {119},
year = {1994},
}
TY - JOUR
AU - Bureš, Jarolím
AU - Kaňka, Miloš
TI - Some conditions for a surface in $Esp 4$ to be a part of the sphere $Ssp 2$
JO - Mathematica Bohemica
PY - 1994
PB - Institute of Mathematics, Academy of Sciences of the Czech Republic
VL - 119
IS - 4
SP - 367
EP - 371
AB - 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.
LA - eng
KW - surfaces with boundary in Euclidean four-space; maximum principle for elliptic systems of PDE; surfaces with boundary in Euclidean four-space; maximum principle for elliptic systems of PDE
UR - http://eudml.org/doc/29275
ER -
References
top- Bureš J., Some remarks on surfaces in the 4-dimensional euclidean space, Czech. Math. Journal 25 (1975), 480-490. (1975) MR0388283
- Švec A., Seminar on global geometry, Prague, texts.
- Vekua A., Obobščennyje analytičeskije funkcii, Moskva, 1958. (1958)
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