Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 139-148
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Yu. A. Aminov; N. V. Manzhos. Closed surfaces in $E^4$ with nonvanishing Whitney's invariant. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 139-148. http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a0/
@article{JMAG_1998_5_3_a0,
author = {Yu. A. Aminov and N. V. Manzhos},
title = {Closed surfaces in $E^4$ with nonvanishing {Whitney's} invariant},
journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
pages = {139--148},
year = {1998},
volume = {5},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a0/}
}
TY - JOUR
AU - Yu. A. Aminov
AU - N. V. Manzhos
TI - Closed surfaces in $E^4$ with nonvanishing Whitney's invariant
JO - Žurnal matematičeskoj fiziki, analiza, geometrii
PY - 1998
SP - 139
EP - 148
VL - 5
IS - 3
UR - http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a0/
LA - ru
ID - JMAG_1998_5_3_a0
ER -
%0 Journal Article
%A Yu. A. Aminov
%A N. V. Manzhos
%T Closed surfaces in $E^4$ with nonvanishing Whitney's invariant
%J Žurnal matematičeskoj fiziki, analiza, geometrii
%D 1998
%P 139-148
%V 5
%N 3
%U http://geodesic.mathdoc.fr/item/JMAG_1998_5_3_a0/
%G ru
%F JMAG_1998_5_3_a0
We prove the existence of two-dimensional closed regular orientable surfaces of an arbitrary topological type in $E^4$ that do not have a regular vector field. An example of such surfaces is constructed. Their geometrical properties are investigated.
