Bazı Tensör Alanlarına Sahip Hemen Hemen ?-Kenmotsu Manifoldları Üzerine

Bu makalede ?? ?-paralel tensör alanlı hemen hemen ?-Kenmotsu manifoldların projektif, konformal ve konsirküler flat durumlarındaki geometrisi incelendi. Makalenin sonunda   ?'ya bağlı olarak hemen hemen ?-Kenmotsu manifoldlar üzerinde örnekler inşa edildi.

On Almost ?-Kenmotsu Manifolds with Some Tensor Fields

We study the geometry of almost ?-Kenmotsu manifolds when they are projectively, conformally (Weyl) and concircularly flat with ?-parallel tensor ?? and we give illustrating examples on almost ?- Kenmotsu manifolds with respect to ?.

___

  • 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.  ?-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. Semi- symmetric 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  ?-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  ?- parallelism.    Differential Geometry and  İts Applications, 27, 671-679
Afyon Kocatepe Üniversitesi Fen ve Mühendislik Bilimleri Dergisi-Cover
  • Yayın Aralığı: Yılda 6 Sayı
  • Başlangıç: 2015
  • Yayıncı: AFYON KOCATEPE ÜNİVERSİTESİ