Öz
Bu çalışmanın
amacı genelleştirilmiş Kenmotsu manifoldları üzerinde concircular eğrilik
tensörünün çalışılmasıdır. Concircular düz ve -concircular
düz genelleştirilmiş Kenmotsu manifoldları
incelenmiştir. Ayrıca -semi simetrik ve -concircular semi simetrik genelleştirilmiş
Kenmotsu manifoldları üzerine bazı sonuçlar verilmiştir.
Anahtar Kelimeler
Conircular eğrilik tensörü Genelleştirilmiş Kenmotsu manifoldları φ-semi simetrik φ-concircular semi simetrik
Kaynakça
- Bhatt, L. and Dube, K. K., 2003. Semi-invarnant submanifolds of r-Kenmotsu manifolds. Acta Ciencia Indica Mathematics, 29 (1), 167-172.
- Blair, D. E., Kim, J. S. and Tripathi, M., 2005. On the concircular curvature tensor of a contact metric manifold. Journal of the Korean Mathematical Society, 42 (5), 883-892.
- Blair, D. E., 2010. Riemannian geometry of contact and Symplectic Manifolds. Boston, Birkhauser, 360p.
- Falcitelli, M. and Pastore, A.M., 2006. f-structures of Kenmotsu Type. Mediterr J. Math., 3 (3-4), 549-564.
- Goldberg, S.I. and Yano, K., 1971. Globally framed f-manifolds. III. J. Math., 15, 456-474.
- Kenmotsu, K., 1972. A class of almost contact Riemannian manifolds. Tohoku Math. J. II Ser., 24, 93-103.
- Kholodenko, A.L., 2013. Applications of Contact Geometry and Topology in Physics: Singapore, World Scientific Publishing Co., 492p.
- Piti G., 2007. Geometry of Kenmotsu manifolds, Publishing House of Transilvania University of Braşov, Braşov.
- Srikantha, N. and Venkatesha, 2017. On Invariant Submanifolds of a Generalized Kenmotsu Manifold Satisfying Certain Conditions. IJMMS, 13 (1), 17-25.
- Tanno, S., 1969. The automorphism groups of almost contact Riemannian manifolds. Tohoku Math. J., 21, 21-38.
- Turgut Vanli, A. and Sari, R., 2016. Generalized Kenmotsu Manifolds. Communications in Mathematics and Applications, 7 (4), 311-328.
- Turgut Vanli, A. and Sari, R., 2015. On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection. Pure and Applied Mathematics Journal, 4 (1-2), 14-18.
- Turgut Vanli, A. and Sari, R., 2015. On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Metric Connection, Acta Universitatis Apulensis, 43, 79-92.
- Turgut Vanli, A. and Unal, I., 2017. Conformal, concircular, quasi-conformal and conharmonic flatness on normal complex contact metric manifolds. International Journal of Geometric Methods in Modern Physics, 14 (05), 1750067.
- Vanli, A. T. and Unal, I., 2017. On Complex η-Einstein Normal Complex Contact Metric Manifolds. Communications in Mathematics and Applications, 8 (3), 301-313.
- Yano, K., 1940. Concircular geometry I. Concircular transformations. Proceedings of the Imperial Academy, 16 (6), 195-200.
- Yano, K. and Kon, M., 1984. Structure on manifolds. Series in Pure Math. 3, World Scientific, Singapore.
Öz
The aim of the present paper is to study on concircular curvature tensor
on generalized Kenmotsu manifolds. Concircular flat and -concircular flat
generalized Kenmotsu manifolds are examined. Also some results are given
about -semi symmetric
and -concircular semi symmetric generalized
Kenmotsu manifolds.
Anahtar Kelimeler
Concircular curvature tensor Generalized Kenmotsu manifolds φ-semi symmetric φ -concircular semi symmetric
Kaynakça
- Bhatt, L. and Dube, K. K., 2003. Semi-invarnant submanifolds of r-Kenmotsu manifolds. Acta Ciencia Indica Mathematics, 29 (1), 167-172.
- Blair, D. E., Kim, J. S. and Tripathi, M., 2005. On the concircular curvature tensor of a contact metric manifold. Journal of the Korean Mathematical Society, 42 (5), 883-892.
- Blair, D. E., 2010. Riemannian geometry of contact and Symplectic Manifolds. Boston, Birkhauser, 360p.
- Falcitelli, M. and Pastore, A.M., 2006. f-structures of Kenmotsu Type. Mediterr J. Math., 3 (3-4), 549-564.
- Goldberg, S.I. and Yano, K., 1971. Globally framed f-manifolds. III. J. Math., 15, 456-474.
- Kenmotsu, K., 1972. A class of almost contact Riemannian manifolds. Tohoku Math. J. II Ser., 24, 93-103.
- Kholodenko, A.L., 2013. Applications of Contact Geometry and Topology in Physics: Singapore, World Scientific Publishing Co., 492p.
- Piti G., 2007. Geometry of Kenmotsu manifolds, Publishing House of Transilvania University of Braşov, Braşov.
- Srikantha, N. and Venkatesha, 2017. On Invariant Submanifolds of a Generalized Kenmotsu Manifold Satisfying Certain Conditions. IJMMS, 13 (1), 17-25.
- Tanno, S., 1969. The automorphism groups of almost contact Riemannian manifolds. Tohoku Math. J., 21, 21-38.
- Turgut Vanli, A. and Sari, R., 2016. Generalized Kenmotsu Manifolds. Communications in Mathematics and Applications, 7 (4), 311-328.
- Turgut Vanli, A. and Sari, R., 2015. On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Non-Metric Connection. Pure and Applied Mathematics Journal, 4 (1-2), 14-18.
- Turgut Vanli, A. and Sari, R., 2015. On Semi-Invariant Submanifolds of a Generalized Kenmotsu Manifold Admitting a Semi-Symmetric Metric Connection, Acta Universitatis Apulensis, 43, 79-92.
- Turgut Vanli, A. and Unal, I., 2017. Conformal, concircular, quasi-conformal and conharmonic flatness on normal complex contact metric manifolds. International Journal of Geometric Methods in Modern Physics, 14 (05), 1750067.
- Vanli, A. T. and Unal, I., 2017. On Complex η-Einstein Normal Complex Contact Metric Manifolds. Communications in Mathematics and Applications, 8 (3), 301-313.
- Yano, K., 1940. Concircular geometry I. Concircular transformations. Proceedings of the Imperial Academy, 16 (6), 195-200.
- Yano, K. and Kon, M., 1984. Structure on manifolds. Series in Pure Math. 3, World Scientific, Singapore.
Ayrıntılar
| Birincil Dil | İngilizce |
|---|---|
| Konular | Mühendislik |
| Bölüm | Makaleler |
| Yazarlar | |
| Yayımlanma Tarihi | 30 Kasım 2018 |
| Gönderilme Tarihi | 26 Haziran 2018 |
| Kabul Tarihi | 30 Kasım 2018 |
| Yayımlandığı Sayı | Yıl 2018 |