TY - JOUR
T1 - On quasi-Einstein Weyl manifolds
AU - Gül, Ilhan
AU - Canfes, Elif Özkara
N1 - Publisher Copyright:
© 2017 World Scientific Publishing Company.
PY - 2017/9/1
Y1 - 2017/9/1
N2 - 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.
AB - 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.
KW - conformal transformation
KW - generalized concircular transformation
KW - Quasi-Einstein manifold
UR - http://www.scopus.com/inward/record.url?scp=85018739448&partnerID=8YFLogxK
U2 - 10.1142/S0219887817501225
DO - 10.1142/S0219887817501225
M3 - Article
AN - SCOPUS:85018739448
SN - 0219-8878
VL - 14
JO - International Journal of Geometric Methods in Modern Physics
JF - International Journal of Geometric Methods in Modern Physics
IS - 9
M1 - 1750122
ER -