TY - JOUR T1 - On Quasi-Conformally Flat Generalized Sasakian-Space Forms AU - Yıldız, Ahmet PY - 2022 DA - July DO - 10.54974/fcmathsci.1054967 JF - Fundamentals of Contemporary Mathematical Sciences JO - FCMS PB - Mustafa UÇKUN WT - DergiPark SN - 2717-6185 SP - 119 EP - 131 VL - 3 IS - 2 LA - en AB - In this paper, we classify quasi-conformally flat generalized Sasakian-space forms under the assumption that the characteristic vector field is Killing. Also we classify quasi-conformally Weyl-symmetric generalized Sasakian-space forms. KW - Generalized Sasakian-space forms KW - quasi-conformally ‡at KW - quasiconformally Weyl-symmetric. CR - Alegre P., Blair D., Carriazo A., Generalized Sasakian-space forms, Israel Journal of Mathematics, 141, 157-183, 2004. CR - Blair D., Riemannian Geometry of Contact and Sympletic Manifolds, Birkhauser, 2002. CR - Derdzinski A., Some remarks on the local structure of Codazzi tensors, Lecture Notes in Mathematics, 838, 251-255, 1981. CR - Derdzinski A., Classification of certain compact Riemannian manifolds with harmonic curvature and non-parallel Ricci tensor, Mathematische Zeitschrift, 172, 273-280, 1980. CR - Kim U.K., Conformally flat generalized Sasakian-space forms and locally symmetric generalized Sasakian space-forms, Note di Matematica, 26, 55-67, 2006. CR - Ludden G., Submanifolds of cosymplectic manifolds, Journal of Differential Geometry, 4, 237-244, 1970. CR - Sarkar A., De U.C., Some curvature properties of generalized Sasakian-space forms, Lobashevskii Journal of Mathematics, 33, 22-27, 2012. CR - Yano K., Sawaki S., Riemannian manifolds admitting a conformal transformation group, Journal of Differential Geometry, 2, 161-184, 1968. UR - https://doi.org/10.54974/fcmathsci.1054967 L1 - https://dergipark.org.tr/en/download/article-file/2181006 ER -