On quasi-Einstein Weyl manifolds
International Journal of Geometric Methods in Modern Physics, cilt.14, sa.9, 2017 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 14 Sayı: 9
- Basım Tarihi: 2017
- Doi Numarası: 10.1142/s0219887817501225
- Dergi Adı: International Journal of Geometric Methods in Modern Physics
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Anahtar Kelimeler: conformal transformation, generalized concircular transformation, Quasi-Einstein manifold
- Maltepe Üniversitesi Adresli: Hayır
Özet
In this work, first, we define quasi-Einstein Weyl manifold which is one of the generalization of Einstein-Weyl manifold. Then, we prove its existence and construct an example. Moreover, we consider quasi-Einstein Weyl manifolds with semi-symmetric and Ricci-quarter symmetric connections. Finally, we examine conformal and generalized concircular mappings of quasi-Einstein Weyl manifolds and prove that quasi-Einstein Weyl manifolds are invariant under the generalized concircular mappings.