Geodesic
A pair of infinite-dimensional Levi-Civita spaces may have no common geodesics
Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 17 (1986), pp. 79-83

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     author = {V. E. Fomin},
     title = {A pair of infinite-dimensional {Levi-Civita} spaces may have no common geodesics},
     journal = {Trudy Geometricheskogo Seminara},
     pages = {79--83},
     publisher = {mathdoc},
     volume = {17},
     year = {1986},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/KUTGS_1986_17_a9/}
}
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V. E. Fomin. A pair of infinite-dimensional Levi-Civita spaces may have no common geodesics. Trudy Geometricheskogo Seminara, Trudy Geometricheskogo Seminara, Tome 17 (1986), pp. 79-83. http://geodesic.mathdoc.fr/item/KUTGS_1986_17_a9/