TY - JOUR T1 - On T-Curvature Tensor In K-Contact And Sasakian Manifolds AU - Mani Tripathi, Mukut AU - Gupta, Punam PY - 2011 DA - April JF - International Electronic Journal of Geometry JO - Int. Electron. J. Geom. PB - Kazım İlarslan WT - DergiPark SN - 1307-5624 SP - 32 EP - 47 VL - 4 IS - 1 LA - en KW - T -curvature tensor KW - quasi-conformal curvature tensor KW - conformal curvature tensor KW - conharmonic curvature tensor KW - concircular curvature tensor KW - pseudo-projective curvature tensor KW - projective curvature tensor KW - M-projective curvature tensor CR - [1] Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Progress in Mathe- matics, 203 (Boston, MA: Birkhauser Boston, Inc.) (2002). CR - [2] Boothby, W. M. and Wang, H. C., On contact manifolds, Ann. Math., 68 (1958), 721–734. CR - [3] Cabrerizo, J. L., Ferna´ndez, L. M., Ferna´ndez, M. and Zhen, G., The structure of a class of K-contact manifolds, Acta Math. Hungar., 82 (1999), no. 4, 331–340. CR - [4] Dwivedi, M. K. and Kim, J.-S., On conharmonic curvature tensor in K-contact and Sasakian manifolds, Bull. Malays. Math. Sci. Soc. 34(1) (2011), 171-180. CR - [5] Eisenhart, L. P., Riemannian Geometry, Princeton University Press, 1949. [6] Ishii, Y., On conharmonic transformations, Tensor (N.S.), 7 (1957), 73–80. CR - [7] Ogiue, K., On fibrings of almost contact manifolds, Kodai Math. Sem. Rep., 17 (1965) 53–62. CR - [8] Pokhariyal G. P. and Mishra, R. S., Curvature tensors and their relativistic significance, Yokohama Math. J., 18 (1970), 105–108. CR - [9] Pokhariyal, G. P. and Mishra, R. S., Curvature tensors and their relativistic significance II, Yokohama Math. J., 19 (1971), no. 2, 97–103. CR - [10] Pokhariyal, G. P., Relativistic significance of curvature tensors, Internat. J. Math. Math. Sci., 5 (1982), no. 1, 133–139. CR - [11] Prasad, B., A pseudo projective curvature tensor on a Riemannian manifold, Bull. Calcutta Math. Soc., 94 (2002), no. 3, 163–166. CR - [12] Tripathi, M. M. and Dwivedi, M. K., The structure of some classes of K-contact manifolds, Proc. Indian Acad. Sci. (Math. Sci.), 118 (2008), no. 3, 371–379. CR - [13] Tripathi, M. M. and Gupta, P., T -curvature tensor on a semi-Riemannian manifold, J. Adv. Math. Stud. 4 (2011), No. 1, 117-129. CR - [14] Yano, K., Concircular Geometry I. Concircular transformations, Math. Institute, Tokyo Im- perial Univ. Proc., 16 (1940), 195–200. CR - [15] Yano, K. and Bochner, S., Curvature and Betti numbers, Annals of Mathematics Studies 32, Princeton University Press, 1953. CR - [16] Yano, K. and Sawaki, S., Riemannian manifolds admitting a conformal transformation group, J. Diff. Geom., 2 (1968), 161–184. CR - [17] Zhen, G., Cabrerizo, J. L., Ferna´ndez, L. M. and Fern´andez, M., On ξ-conformally flat contact metric manifolds, Indian J. Pure Appl. Math., 28 (1997), 725–734. CR - [18] Zhen, G., On conformal symmetric K-contact manifolds, Chinese Quart. J. Math., 7 (1992), 5–10. UR - https://dergipark.org.tr/en/pub/iejg/article/599558 L1 - https://dergipark.org.tr/en/download/article-file/775696 ER -