Geodesic
On the Geometry of Submanifolds in $E^n_{2n}$
Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 4, pp. 215-230

Voir la notice du chapitre de livre provenant de la source Math-Net.Ru

A special class of $2m$-dimensional submanifolds in a $2n$-dimensional pseudo-Euclidean space with metric of signature $(n,n)$, known as a pseudo-Euclidean Rashevsky space, is studied. For such submanifolds, canonical integrals and parametric equations are found.
Keywords: even-dimensional submanifolds, pseudo-Euclidean Rashevsky space, double fiber bundle, canonical integral, differential-geometric structure, fibration
Mots-clés : foliation. 
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     author = {S. Haroutunian},
     title = {On the {Geometry} of {Submanifolds} in $E^n_{2n}$},
     journal = {U\v{c}\"enye zapiski Kazanskogo universiteta. Seri\^a Fiziko-matemati\v{c}eskie nauki},
     pages = {215--230},
     publisher = {mathdoc},
     volume = {151},
     number = {4},
     year = {2009},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/UZKU_2009_151_4_a19/}
}
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S. Haroutunian. On the Geometry of Submanifolds in $E^n_{2n}$. Učënye zapiski Kazanskogo universiteta. Seriâ Fiziko-matematičeskie nauki, Kazanskii Gosudarstvennyi Universitet. Uchenye Zapiski. Seriya Fiziko-Matematichaskie Nauki, Tome 151 (2009) no. 4, pp. 215-230. http://geodesic.mathdoc.fr/item/UZKU_2009_151_4_a19/