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
Cet article a éte moissonné depuis la source Math-Net.Ru
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 $E^3$.
@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/}
}
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/