A Note on ξ-Conformally Flat Contact Manifolds

[1] D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Math., 509, Springer, Berlin, 1976.

[2] D. E. Blair, T. Koufogiorgos and R. Sharma, A classification of 3-dimensional contact metric manifolds with Q∅ = ∅Q, Kodai Math. J. 13(3) (1990), 391—401.

[3] C. Baikoussis and D. E. Blair and T. Koufogiorgos, A decomposition of the curvature tensor of a contact manifold satisfying R(X,Y)ξ = k{η(Y)X — η(X)Y}, Math. Tech. Report, Univ. Ioannina, No. 204, June 1992.

[4] C. Baikoussis and T. Koufogiorgos, On a type of contact manifolds, J. Geom. 46(1—2) (1993), 1—9.

[5] A. A. Shaikh, and U. C. De, On a type of contact metric manifolds, Bull. Calcutta Math. Soc. 91(6) (1999), 487—492.

[6] M. C. Chaki and M. Tarafdar, On a type of Sasakian manifold, Soochow J. Math. 16(1) (1990), 23—28.

[7] U. C. De, G. Pathak and On a type of contact manifolds, Math. Balkanica (N.S.) 7(2) (1993), 113—118.

[81 U. C. De and J. C. Ghosh, On a type of contact manifold, Note Mat. 14(2) (1994), 155—160.

[9] H. Endo, On the curvature tensor fields of a type of contact metric manifolds and of its certain submanifolds, Publ. Math. Debrecen 48(3-4) (1996), 253—269.

[10] H. Endo, On an extended contact Bochner curvature tensor on contact metric manifolds, Colloq. Math. 65(1) (1993), 33—41.

[11] Z. Guo, Conformally symmetric K-contact manifolds, Chinese Quart. J. Math. 7(1) (1992), 5—10.

[12] G. Zhen, J. L. Cabrerizo, L. M. Fernández and M. Fernández, On ξ-conformally flat contact metric manifolds, Indian J. Pure Appl. Math. 28(6) (1997), 725—734.

[13] T. Koufogiorgos, Contact metric manifolds, Ann. Global Anal. Geom. 11(1) (1993), 25—34.

[14] T. Miyazawa and S. Yamaguchi, Some theorems on K-contact metric manifolds and Sasakian manifolds, TRU Math. 2 (1966), 46—52.

[15] M. Okumura, Some remarks on space with a certain contact structure, Tohoku Math. J. (2) 14 (1962), 135—145.

[16] D. Perrone, Contact Riemannian manifolds satisfying R(X,ξ) . R = 0, Yokohama Math. J. 39(2) (1992), 141—149.

[17] R. Sharma and D. E. Blair, Conformal motion of contact manifolds with characteristic vector field in the k-nullity distribution, Illinois J. Math. 40(4) (1996), 553—563.

[18] R. Sharma, On the curvature of contact metric manifolds, J. Geom. 53(1—2) (1995), 179—190.

[19] H. Weyl, Reine Infinitesimalgeometrie, Math. Z. 2(3—4) (1918), 384—411.

[20] H. Weyl, Zur Infinitesimalgeometrie, Einordnung der projektiven und der konformen Auffas sung. Gottingen Nachrichten (1921), 99—112.

[21] K. Yano and M. Kon, Structures on Manifolds, World Sci. Publishing, Singapore, 1984.