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Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine

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

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.

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

Abstract

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.
There are 16 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Hakan Öztürk This is me

Publication Date April 30, 2016
Submission Date July 13, 2016
Published in Issue Year 2016 Volume: 16 Issue: 2

Cite

APA Öztürk, H. (2016). Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, 16(2), 256-264.
AMA Öztürk H. Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. April 2016;16(2):256-264.
Chicago Öztürk, Hakan. “Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16, no. 2 (April 2016): 256-64.
EndNote Öztürk H (April 1, 2016) Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16 2 256–264.
IEEE H. Öztürk, “Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine”, Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 16, no. 2, pp. 256–264, 2016.
ISNAD Öztürk, Hakan. “Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi 16/2 (April 2016), 256-264.
JAMA Öztürk H. Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2016;16:256–264.
MLA Öztürk, Hakan. “Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine”. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi, vol. 16, no. 2, 2016, pp. 256-64.
Vancouver Öztürk H. Bazı Tensör Alanlarına Sahip Hemen Hemen α‐Kenmotsu Manifoldları Üzerine. Afyon Kocatepe Üniversitesi Fen Ve Mühendislik Bilimleri Dergisi. 2016;16(2):256-64.