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
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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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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/

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