Geodesic
Сurvilinear three-webs with automorphisms
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2024), pp. 89-97 Cet article a éte moissonné depuis la source Math-Net.Ru

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A general form of the equation of a curvilinear three-web admitting a one-parameter family of automorphisms ($AW$-webs) is found. It is proved that the trajectories of automorphisms of an $AW$-web are geodesics of its Chern connection. All $AW$-webs are found for which one of the covariant derivatives of curvature is zero.
Keywords: curvilinear three-web, regular three-web, automorphism of a three-web, infinitesimal automorphism, Chern connection of a three-web, geodesic line. 
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     author = {A.M. Shelekhov},
     title = {{\CYRS}urvilinear three-webs with automorphisms},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
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     url = {http://geodesic.mathdoc.fr/item/IVM_2024_6_a7/}
}
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A.M. Shelekhov. Сurvilinear three-webs with automorphisms. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 6 (2024), pp. 89-97. http://geodesic.mathdoc.fr/item/IVM_2024_6_a7/

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