Ricci Solitons on Lorentzian Four-Dimensional Generalized Symmetric Spaces

Автор(и)

  • Amel Bouharis Université d'Oran 1 Ahmed Ben Bella, BP 1524, ELM Naouer 31000, Oran, Algeria
  • Bachir Djebbar Université des Sciences et de la Technologie d'Oran "Mohamed Boudiaf", BP 1505, Bir El Djir 31000, Oran, Algeria

DOI:

https://doi.org/10.15407/mag14.02.132

Анотація

Доведено iснування нетривiальних (тобто, неейнштейнiвських) солiтонiв Рiччi на чотиривимiрних лоренцевих узагальнених симетричних просторах. Бiльш того, показано, що тiльки стiйкi солiтони Рiччi можуть бути градiєнтними.

Mathematical Subject Classification: 53C20, 53C21.

Ключові слова:

лоренцева метрика, солiтони Рiччi, градiєнтнi солiтони Рiччi, узагальненi симетричнi простори

Посилання

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(1)
Bouharis, A.; Djebbar, B. Ricci Solitons on Lorentzian Four-Dimensional Generalized Symmetric Spaces. Журн. мат. фіз. анал. геом. 2018, 14, 132-140.

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