Warped-twisted products and Einstein-like manifolds

Aydın S. G., TAŞTAN H. M.

Novi Sad Journal of Mathematics, cilt.53, sa.2, ss.101-119, 2023 (Scopus) identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 53 Sayı: 2
  • Basım Tarihi: 2023
  • Doi Numarası: 10.30755/nsjom.12381
  • Dergi Adı: Novi Sad Journal of Mathematics
  • Derginin Tarandığı İndeksler: Scopus, zbMATH
  • Sayfa Sayıları: ss.101-119
  • Anahtar Kelimeler: Codazzi Ricci tensor, Einstein-like manifold, killing Ricci tensor, twisted product man-ifold, warped product manifold, Weyl conformal flat manifold
  • İstanbul Üniversitesi Adresli: Evet

Özet

We study warped-twisted product manifolds in the form f2 M1 ×f1 M2 with warping function f2 on M2 and twisting function f1. We give a necessary and sufficient condition for a warped-twisted product to be a doubly warped product. We also give some conditions for such manifolds to be a twisted and a base conformal warped product. Moreover, we give some results for Einstein-like warped-twisted product manifolds of different classes.