GENERALIZED KINEMATICS ON rho-COMMUTATIVE ALGEBRAS

Peyghan E., Bagheri Z., Gultekin İ., Gezer A.

REPORTS ON MATHEMATICAL PHYSICS, cilt.85, sa.3, ss.399-426, 2020 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 85 Sayı: 3
  • Basım Tarihi: 2020
  • Doi Numarası: 10.1016/s0034-4877(20)30044-6
  • Dergi Adı: REPORTS ON MATHEMATICAL PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, INSPEC, MathSciNet, Metadex, zbMATH, Civil Engineering Abstracts
  • Sayfa Sayıları: ss.399-426
  • Atatürk Üniversitesi Adresli: Evet

Özet

The geometric framework of Double Field Theory (DFT) can be constructed on a para-Hermitian manifold. The canonical, generalized-metric connections and the global expression of the corresponding covariant derivative, a generalization of the kinematical structure of DFT, generalized curvature, a corresponding generalized Lie derivative for the Leibniz algebroid on the tangent bundle are constructed. In the present paper, we construct the similar action of DFT and para-Hermitian manifolds on rho-commutative algebras and extend the above notions on it.