On the Schouten-Weyl tensor of 3-dimensional metric Lie groups

  • Олеся Павловна Хромова Алтайский государственный университет Email: khromova.olesya@gmail.com
  • Павел Николаевич Клепиков Алтайский государственный университет Email: klepikov.math@gmail.com
  • Светлана Владимировна Клепикова Алтайский государственный университет Email: klepikova.svetlana.math@gmail.com
  • Евгений Дмитриевич Родионов Алтайский государственный университет Email: edr2002@mail.ru

Аннотация

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.

Литература

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Опубликован
2017-12-18
Как цитировать
Хромова О. П., Клепиков П. Н., Клепикова С. В., Родионов Е. Д. On the Schouten-Weyl tensor of 3-dimensional metric Lie groups // Труды семинара по геометрии и математическому моделированию, 2017, № 3. С. 21-29. URL: http://journal.asu.ru/psgmm/article/view/3537.

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