chebЧебышевский сборникChebyshevskii Sbornik2226-8383Tula State Lev Tolstoy Pedagogical University10.22405/2226-8383-2021-22-2-510-518cheb-1017Research ArticleКраткие сообщенияСимметрии многообразий Эйнштейна — Вейля с краемSymmetries of Einstein–Weyl manifolds with boundaryМохсэниРузбехMohseniRouzbehrouzbeh.mohseni@doctoral.uj.edu.plЯгеллонский университет, Институт математикиПольшаJagiellonian University, Institute of MathematicsPoland202102062021222510518Copyright © Мохсэни Р., 20212021Мохсэни Р.Mohseni R.Данная работа распространяется под лицензией Creative Commons Attribution 4.0.This work is licensed under a Creative Commons Attribution 4.0 License.https://www.chebsbornik.ru/jour/article/view/1017

Начиная с вещественной аналитической поверхности ℳ с вещественно-аналитической конформной связностью Картана, А. Боровка построил пространство минитвисторовасимптотически гиперболического многообразия Эйнштейна–Вейля с границейℳ. В этой статье, начиная с симметрии конформной связности Картана, мы доказываем, что симметрии конформной связности Картана на ℳ могут быть продолжены до симметрий полученного многообразия Эйнштейна–Вейля.

Starting from a real analytic surface ℳ with a real analytic conformal Cartan connection A. Bor´owka constructed a minitwistor space of an asymptotically hyperbolic Einstein–Weyl manifold with ℳ being the boundary. In this article, starting from a symmetry of conformal Cartan connection, we prove that symmetries of conformal Cartan connection on ℳ can be extended to symmetries of the obtained Einstein–Weyl manifold.

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The authors declare that there are no conflicts of interest present.