Actions on the Four-Dimensional Pseudo-Euclidean Space ℝ2,2 with a Three-Dimensional Orbit

Автор(и)

  • Parviz Ahmadi Departmental of mathematics, University of Zanjan, University blvd., Zanjan, Iran
  • Salim Safari Departmental of mathematics, University of Zanjan, University blvd., Zanjan, Iran

DOI:

https://doi.org/10.15407/mag18.03.303

Ключові слова:

кооднорiднiсть один, iзометрична дiя, псевдоевклiдiв простiр

Анотація

У цiй роботi ми класифiкуємо зв’язнi групи Лi з точнiстю до спряженостi в Iso(ℝ2,2), якi дiють iзометрично на чотиривимiрному псевдоевклiдовому просторi ℝ2,2 таким чином, що є тривимiрна iндукована орбiта в ℝ2,2. Потiм ми надаємо перелiк груп, що дiють, у двох випадках: з власними та невласними дiями. У випадку власної дiї ми визначаємо явне представлення групи, що дiє, в SO(2,2) ⋉ ℝ2,2 i описуємо орбiти та простори орбiт.

Mathematical Subject Classification 2010: 57S25, 53C30

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(1)
Ahmadi, P.; Safari, S. Actions on the Four-Dimensional Pseudo-Euclidean Space ℝ2,2 with a Three-Dimensional Orbit. Журн. мат. фіз. анал. геом. 2022, 18, 303-331.

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Том 18 № 3 (2022)

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