TY - JOUR AU - Олеся Павловна Хромова AU - Павел Николаевич Клепиков AU - Светлана Владимировна Клепикова AU - Евгений Дмитриевич Родионов PY - 2017/12/18 Y2 - 2024/03/29 TI - On the Schouten-Weyl tensor of 3-dimensional metric Lie groups JF - Труды семинара по геометрии и математическому моделированию JA - ГиММ VL - 0 IS - 3 SE - Статьи DO - UR - http://journal.asu.ru/psgmm/article/view/3537 AB - The main purpose of this paper is to investigate the Schouten–Weyl tensor on the three-dimensional Lie groups with left-invariant Lorenzian metrics. The left-invariant Lorentzian metrics on the three-dimensional Lie groups with squared length zero Schouten–Weyl tensor are studied. Moreover, the three-dimensional metric Lie groups with almost harmonic (i.e. with zero curl and divergence) Schouten–Weyl tensor are investigated. In addition, the question about the harmonicity of contraction of the Schouten–Weyl tensor is considered. ER -