ON WARPED-TWISTED PRODUCT MANIFOLDS WITH GRADIENT SOLITONS

Aydın S. G., TAŞTAN H. M.

Matematicki Vesnik, cilt.77, sa.2, ss.120-130, 2025 (ESCI) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 77 Sayı: 2
  • Basım Tarihi: 2025
  • Doi Numarası: 10.57016/mv-frkb8689
  • Dergi Adı: Matematicki Vesnik
  • Derginin Tarandığı İndeksler: Emerging Sources Citation Index (ESCI), Scopus, Academic Search Premier, zbMATH, Directory of Open Access Journals
  • Sayfa Sayıları: ss.120-130
  • Anahtar Kelimeler: quasi-Einstein manifold, Ricci soliton, Riemann soliton, twisted product, Warped product, Yamabe soliton
  • İstanbul Üniversitesi Adresli: Evet

Özet

In this paper, we give new characterizations for warped-twisted product manifolds. We study gradient Riemann, gradient Ricci, gradient Yamabe solitons and quasiEinstein case on warped-twisted product manifolds and we investigate the effect of a gradient soliton and quasi-Einstein case on such manifolds to their factor manifolds. We also get some results when the factor manifolds of the warped-twisted product manifolds are compact, the twisting and the warping functions are harmonic.