Перегляд за Автор "Nina Vashpanova, Aleksandr Savchenko, Nataliia Vasylieva"
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- ДокументGeneralized φ(Ric)-vector fields in special pseudo-Riemannian spaces(2021) Nina Vashpanova, Aleksandr Savchenko, Nataliia VasylievaThe paper treats pseudo-Riemannian spaces permitting generalized φ(Ric)-vector fields. We study conditions for the existence of such vector fields in conformally flat, equidistant, reducible and Kählerian pseudo-Riemannian spaces. The obtained results can be applied for the construction of generalized φ(Ric)-vector fields that differ from φ(Ric)-vector fields. The research is carried out locally without limitations imposed on a sign of metric tensor.