Geodesic
Special $\mathcal L_n$ that admit nontrivial~$J_0$
Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 23 (1997), pp. 223-230

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We suggest a method that allows to prove existence of a nontrivial homogeneous linear integral of geodesies in affinely connected spaces. We find connection coefficients of these spaces relative to a special coordinate system. 
@article{KUTGS_1997_23_a19,
     author = {Sh. A. Yafarov},
     title = {Special $\mathcal L_n$ that admit nontrivial~$J_0$},
     journal = {Trudy Geometricheskogo Seminara},
     pages = {223--230},
     publisher = {mathdoc},
     volume = {23},
     year = {1997},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/KUTGS_1997_23_a19/}
}
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Sh. A. Yafarov. Special $\mathcal L_n$ that admit nontrivial~$J_0$. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 23 (1997), pp. 223-230. http://geodesic.mathdoc.fr/item/KUTGS_1997_23_a19/