Geodesic
An example of isometric immersion of a domain of 3-dimensional Lobachevsky space into $E^6$ with a section as the Veronese surface
Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 1, pp. 3-9 Cet article a éte moissonné depuis la source Math-Net.Ru

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Some example of isometric immersion of a domain of the Lobachevsky space $L^3$ into $E^6$ is constructed in such a way that every intersection of the obtained submanifold with coordinate hyperplane $x^6=const$ be the Veronese surface. The submanifold is not orientable and admits a $2$-parametric family of motions along itself. It is also proved general statements on existence of immersions of some domain of $L^3$ into $E^k$, $k>5$, in the form of special submanifolds. 
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     author = {Yu. A. Aminov and O. A. Goncharova},
     title = {An example of isometric immersion of a domain of 3-dimensional {Lobachevsky} space into $E^6$ with a section as the {Veronese} surface},
     journal = {\v{Z}urnal matemati\v{c}eskoj fiziki, analiza, geometrii},
     pages = {3--9},
     year = {1999},
     volume = {6},
     number = {1},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JMAG_1999_6_1_a0/}
}
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Yu. A. Aminov; O. A. Goncharova. An example of isometric immersion of a domain of 3-dimensional Lobachevsky space into $E^6$ with a section as the Veronese surface. Žurnal matematičeskoj fiziki, analiza, geometrii, Tome 6 (1999) no. 1, pp. 3-9. http://geodesic.mathdoc.fr/item/JMAG_1999_6_1_a0/