Metallic Kahler and nearly metallic Kahler manifolds

TURANLI S., GEZER A., Cakicioglu H.

INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS, cilt.18, sa.9, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 18 Sayı: 9
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0219887821501462
  • Dergi Adı: INTERNATIONAL JOURNAL OF GEOMETRIC METHODS IN MODERN PHYSICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, Metadex, zbMATH, Civil Engineering Abstracts
  • Anahtar Kelimeler: Kahler structure, linear connection, Riemannian curvature tensor
  • Atatürk Üniversitesi Adresli: Evet

Özet

In this paper, we construct metallic Kahler and nearly metallic Kahler structures on Riemannian manifolds. For such manifolds with these structures, we study curvature properties. Also, we describe linear connections on the manifold which preserve the associated fundamental 2-form and satisfy some additional conditions and present some results concerning them.