A NOTE ON RECURRENT BIVECTORS IN 4-DIMENSIONAL LORENTZ MANIFOLDS


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KIRIK B.

PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD, cilt.103, sa.117, ss.103-112, 2018 (ESCI İndekslerine Giren Dergi) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 103 Konu: 117
  • Basım Tarihi: 2018
  • Doi Numarası: 10.2298/pim1817103k
  • Dergi Adı: PUBLICATIONS DE L INSTITUT MATHEMATIQUE-BEOGRAD
  • Sayfa Sayıları: ss.103-112

Özet

We study recurrence properties of the second order skew-symmetric tensor fields, which are referred to as bivectors, on a 4-dimensional manifold admitting a Lorentz metric. Considering the known classification scheme for these tensor fields, recurrent bivectors which can be scaled to be parallel are first determined and these results are associated with the holonomy theory. This examination then identifies proper recurrence of such bivectors on the manifold. The link between these bivectors and the holonomy group is investigated and some theorems are proved.