Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine

Year 2016, Volume: 16 Issue: 2, 256 - 264, 30.04.2016

Hakan Öztürk

Abstract

Bu makalede 􀟮􀝄 􀟟‐paralel tensör alanlı hemen hemen 􀟙‐Kenmotsu manifoldların projektif, konformal

ve konsirküler flat durumlarındaki geometrisi incelendi. Makalenin sonunda 􀟙’ya bağlı olarak hemen

hemen α‐Kenmotsu manifoldlar üzerinde örnekler inşa edildi.

Keywords

Hemen hemen 􀟙‐ Kenmotsu manifold, Yarı simetrik manifold, Konformal flat; 􀟟‐ paralellik.

References

• Kim, T. W. and Pak, H. K., 2005. Canonical foliations of certain classes of almost contact metric structures. Acta Math. Sinica, Eng. Ser. Aug., 21(4), 841‐846.
• Boeckx, E. and Cho, J. T., 2005. η‐parallel contact metric spaces. Differential Geometry and its Applications, 22, 275‐285.
• Vaisman, I., 1980. Conformal changes of almost contact metric manifolds. Lecture Notes in Math., Berlin‐Heidelberg‐New York, 792, 435‐443.
• Kenmotsu, K., 1972. A class of contact Riemannian manifold, Tôhoku Math. Journal, 24 , 93‐103.
• Blair, D. E., 2002. Riemannian geometry of contact and symplectic manifolds, Progress in Mathematics, Boston. Bagewadi, C. S. and Venkatesha, 2007. Some curvature tensors on a trans‐Sasakian manifold, Turkish Journal of Math., 31, 111‐121.
• Calvaruso, G. and Perrone, D., 2002. Semisymmetric contact metric three‐manifolds, Yokohama Math. Journal., 49, 149‐161.
• Yano, K. and Kon, M., 1984. Structures on manifolds, Series in Pure Mathematics, 3. World Scientific Publishing Co., Singapore.
• Aktan, N., Yıldırım M. and Murathan, C., 2014. Almost f‐cosymplectic manifolds, Mediterranean Journal of Math., 11, 775‐787.
• Öztürk, H., Aktan, N., Murathan, C. And Vanlı, A. T., 2014. Almost α‐Cosymplectic f‐Manifolds, The Journal of Alexandru Ioan Cuza University, 60 (1), 211‐226.
• Tanno, S., 1969. The automorphism groups of almost contact Riemannian manifolds, Tôhoku Math. Journal, 21, 21‐38.
• Nomizu, K., 1968. On hypersurfaces satisfying a certain condition on the curvature tensor, Tôhoku Mat. Journal, 20, 46‐69.
• Szabó, Z. I., 1982. Structure theorem on Riemannian spaces satisfying R.R=0, Journal of Differential Geometry, 17, 531‐582.
• Ogawa, Y., 1977. A condition for a compact Kaehlerian space to be locally symmetric, Nat. Sci. Rep. Ochanomizu Univ., 28, 21‐23.
• Dacko, P. and Olszak, Z., 1998. On conformally flat almost cosymplectic manifolds with Keahlerian leaves, Rend. Sem. Mat. Univ. Pol. Torino, 56(1), 89‐ 103.
• Olszak, Z., 1989. Locally conformal almost cosymplectic manifolds, Coll. Math. Journal, 57, 73‐ ‐87.
• Dileo, G. and Pastore, A. M., 2009. Almost Kenmotsu manifolds with a condition of η‐ parallelism. Differential Geometry and İts Applications, 27, 671‐679.