GRADIENT SOLITONS ON DOUBLY WARPED PRODUCT MANIFOLDS

Blaga A. m., Tastan H. M.

REPORTS ON MATHEMATICAL PHYSICS, sa.3, ss.319-333, 2022 (SCI-Expanded) identifier

  • Yayın Türü: Makale / Tam Makale
  • Basım Tarihi: 2022
  • Doi Numarası: 10.48550/arxiv.2106.12456
  • 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.319-333
  • Anahtar Kelimeler: doubly warped product manifold, Riemann soliton, Ricci soliton, Yamabe soliton, quasi-Einstein manifold
  • İstanbul Üniversitesi Adresli: Evet

Özet

Firstly we provide new characterizations for doubly warped product manifolds. Then we consider several types of gradient solitons such as Riemann, Ricci, Yamabe and conformal, and examine the effect of a gradient soliton on a doubly warped product to its factor manifolds. Finally, we investigate the concircularly flat and conharmonically flat cases of doubly warped products.