Geodesic
Closed surfaces in $E^4$ with nonvanishing Whitney's invariant
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 5 (1998) no. 3, pp. 139-148 Cet article a éte moissonné depuis la source Math-Net.Ru

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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. 
@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/}
}
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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/