Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 1, pp. 3-16
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Yu. A. Aminov; V. A. Gorkavyy. On the Gauss curvature of closed surfaces in $E^3$ and $E^4$. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 8 (2001) no. 1, pp. 3-16. http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a0/
@article{JMAG_2001_8_1_a0,
author = {Yu. A. Aminov and V. A. Gorkavyy},
title = {On the {Gauss} curvature of closed surfaces in $E^3$ and~$E^4$},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {3--16},
year = {2001},
volume = {8},
number = {1},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a0/}
}
TY - JOUR
AU - Yu. A. Aminov
AU - V. A. Gorkavyy
TI - On the Gauss curvature of closed surfaces in $E^3$ and $E^4$
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 2001
SP - 3
EP - 16
VL - 8
IS - 1
UR - http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a0/
LA - ru
ID - JMAG_2001_8_1_a0
ER -
%0 Journal Article
%A Yu. A. Aminov
%A V. A. Gorkavyy
%T On the Gauss curvature of closed surfaces in $E^3$ and $E^4$
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 2001
%P 3-16
%V 8
%N 1
%U http://geodesic.mathdoc.fr/item/JMAG_2001_8_1_a0/
%G ru
%F JMAG_2001_8_1_a0
New class of closed surfaces of arbitrary genus in $E^3$ called $p$-symmetrons is introduced. Applying these surfaces closed regular surfaces in $E^4$ are constructed. The behaviour of the Gauss curvature of constructed surfaces is studied by computer methods. It is considered the problem of the constructed of closed surfaces of genus $2$ with negative Gauss curvature in $E^4$ which have regular projection in $E^3$.
