Geodesic
$r$-tuple almost product structures
Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 1, pp. 81-93

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A generalization of an almost product structure and an almost complex structure on smooth manifolds is constructed. The set of tensor differential invariants of type $(2,1)$ and the set of the differential 2-forms for such structures are constructed. We show how these tensor invariants can be used to solve the classification problem for Monge–Ampère equations and Jacobi equations. 
@article{FPM_2010_16_1_a6,
     author = {A. G. Kushner},
     title = {$r$-tuple almost product structures},
     journal = {Fundamentalʹna\^a i prikladna\^a matematika},
     pages = {81--93},
     publisher = {mathdoc},
     volume = {16},
     number = {1},
     year = {2010},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FPM_2010_16_1_a6/}
}
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A. G. Kushner. $r$-tuple almost product structures. Fundamentalʹnaâ i prikladnaâ matematika, Tome 16 (2010) no. 1, pp. 81-93. http://geodesic.mathdoc.fr/item/FPM_2010_16_1_a6/