TY - JOUR T1 - GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD AU - Yıldırım, Ümit AU - Atçeken, Mehmet AU - Dirik, Süleyman PY - 2019 DA - October JF - Hagia Sophia Journal of Geometry JO - HSJG PB - Salim YÜCE WT - DergiPark SN - 2687-4261 SP - 1 EP - 7 VL - 1 IS - 2 LA - en AB - The aim of present paper is to study the generalized B-curvaturetensor of a normal paracontact metric manifold satisfying the conditions generalizedB-flatness, generalized B-semi symmetric, B.Z = 0, B.S = 0 and B.P = 0,where B,Z, P, S denotes the generalized B-curvature tensor, concircular curvaturetensor, projective curvature tensor and Ricci tensor, respectively. KW - Normal Paracontact Metric Manifold KW - Generalized B-Curvature KW - Conharmonic CR - Referans1- A. A. Shaikh, and H. Kundu, On Equivalency of Various Geometric Structures, J. geom., 105(2014), 139-165. CR - Referans2- H. B. Pandey and A. Kumar, Anti invariant submanifolds of almost paracontact metric manifolds,Indian J. pure appl. math. 16 (6), 586-590, 1985. CR - Referans3- J. Welyczko. On Legendre curvaes in 3-dimensional normal almost paracontact metric manifolds,Result. Math. 54, 377-387, 2009. CR - Referans4- J.Welyczko. Slant curves in 3-dimensional normal contact metric manifolds, Mediterr. J. Math.11, 965-978, 2014. CR - Referans5- K. Yano and S. Sawaki, Riemannian manifolds admitting a conformal transformation group, J.Diff. Geom.2 (1968), 161-184. CR - Referans6- K. Yano, Concircular geometry, Proc. Imp. Acad., Tokyo, 16 (1940), 195-200. CR - Referans7- K. Yano and M. Kon, Structures of manifolds, World Scientific Publishing, Singapore 1984. CR - Referans8- S. Kenayuki and F. L. Williams, Almost paracontact and parahodge structures on manifolds,Nagoya Math. J., vol. 99, 173-187, 1985. CR - Referans9- S. Zamkovoy, Canonical connections on paracontact manifolds, Ann Glob. Anal. Geom., 36,37-60, 2009. CR - Referans10- Ü. Yıldırım, M. At¸ceken and S. Dirik, A normal paracontact metric manifold satisfying someconditions on the M-projective curvature tensor, Konuralp Journal of Mathematics, 7 (1), 217-221, 2019. CR - Referans11- Ü. Yıldırım, M. At¸ceken and S. Dirik, Pseudo projective curvture tensor satisfying some propertieson a normal paracontact metric manifold, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math.Stat. Vol. 68, No:1, 997-1006, 2019. CR - Referans12- Y. Ishii, On conharmonic transformations, Tensor (N.S.), 7 (1957), 73-80. UR - https://dergipark.org.tr/tr/pub/hsjg/issue//598127 L1 - https://dergipark.org.tr/tr/download/article-file/827344 ER -