On Einstein Finsler metrics

ÜLGEN S., ŞENGELEN SEVİM E., Hacınlıyan İ.

INTERNATIONAL JOURNAL OF MATHEMATICS, cilt.32, sa.09, 2021 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 32 Sayı: 09
  • Basım Tarihi: 2021
  • Doi Numarası: 10.1142/s0129167x21500634
  • Dergi Adı: INTERNATIONAL JOURNAL OF MATHEMATICS
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Communication Abstracts, MathSciNet, Metadex, zbMATH, DIALNET, Civil Engineering Abstracts
  • Anahtar Kelimeler: (alpha, beta)-metrics, Einstein metrics, Ricci curvature, Ricci-flat
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

In this paper, we study Finsler metrics expressed in terms of a Riemannian metric, a 1-form, and its norm and find equations with sufficient conditions for such Finsler metrics to become Ricci-flat. Using certain transformations, we show that these equations have solutions and lead to the construction of a large and special class of Einstein metrics.