A New Structure on Manifolds: Silver Structure

ÖZKAN M., Peltek B.

INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY, cilt.9, sa.2, ss.59-69, 2016 (ESCI) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 9 Sayı: 2
  • Basım Tarihi: 2016
  • Dergi Adı: INTERNATIONAL ELECTRONIC JOURNAL OF GEOMETRY
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), TR DİZİN (ULAKBİM)
  • Sayfa Sayıları: ss.59-69
  • Anahtar Kelimeler: Almost product structure, silver structure, integrability, silver Riemannian manifold, Pell sequence, GOLDEN, PROLONGATIONS, GEOMETRY, MAPPINGS
  • Gazi Üniversitesi Adresli: Evet

Özet

In this paper, we address a new structure defined by a (1,1) tensor field circle minus satisfying circle minus(2) - 2 circle minus - I = 0 on a manifold, which is called silver structure. Integrability conditions and parallelism of the this structure is obtained via a corresponding almost product structure. Finally, a silver Riemannian structure is defined on a Riemannian manifold.