Сurvilinear three-webs with automorphisms
https://doi.org/10.26907/0021-3446-2024-6-89-97
Abstract
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.
About the Author
A. M. Shelekhov
Moscow Pedagogical State University
Russian Federation
Russian Federation
Alexander Mikhailovich Shelekhov
1 Malaya Pirogovskaya str., bdg. 1, Moscow, 119991
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Review
For citations:
Shelekhov A.M. Сurvilinear three-webs with automorphisms. Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika. 2024;(6):89-97. (In Russ.) https://doi.org/10.26907/0021-3446-2024-6-89-97
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