On Semi-Symmetric and Locally Symmetric Submanifolds of Conformal Kenmotsu Manifolds
DOI:
https://doi.org/10.5269/bspm.45291Abstract
‎In this paper‎, ‎we‎ ‎consider‎ ‎semi‎ ‎symmetric‎ ‎submanifolds‎ ‎in‎ ‎conformal‎ ‎Kenmotsu‎ ‎manifolds‎ ‎and‎ ‎then ‎using‎ ‎obtained‎ ‎results‎ ‎for‎ ‎this‎ ‎type‎ ‎of‎ ‎submanifolds‎, ‎‎‎we‎ ‎‎‎‎characterize‎ locally symmetric submanifolds of conformal Kenmotsu ‎manifolds‎.
References
1. Abdi, R. and Abedi, E., Invariant and anti-invariant submanifolds of a conformal Kenmotsu manifold. Azerbaijan J. Math. 5, 54-63, (2015).
2. Abdi, R. and Abedi, E., CR-hypersurfaces of a conformal Kenmotsu manifold satisfying certain shape operator conditions, Periodica Mathematica Hungarica 73, 83-92, (2016). https://doi.org/10.1007/s10998-016-0131-6
3. Abdi, R. and Abedi, E., On the Ricci tensor of submanifolds in conformal Kenmotsu manifolds, Kyushu Journal of Math. 71, 257-269, (2017). https://doi.org/10.2206/kyushujm.71.257
4. Abdi, R. and Abedi, E., On normal Jacobi operator of CR-hypersurfaces in conformal Kenmotsu space forms, Siberian Math. Journal 58, 923-931, (2017). https://doi.org/10.1134/S0037446617060015
5. Abdi, R., External geometry of submanifolds in conformal Kenmotsu manifolds, Bulletin of the Iranian Mathematical Society, https://doi.org/10.1007/s41980-018-0082-1
6. Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Birkhauser, Boston-Basel-Berlin, (2002). https://doi.org/10.1007/978-1-4757-3604-5
7. Gray A. and Hervella, L. M., Sixteen classes of almost Hermitian manifold and their linear invariants, Ann. Math. Pure Appl. 123, 35-58, (1980). https://doi.org/10.1007/BF01796539
8. Kenmotsu, K., A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24, 93-103, (1972). https://doi.org/10.2748/tmj/1178241594
9. Kobayashi, M., Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor (N.S.) 43, 28-36, (1986).
2. Abdi, R. and Abedi, E., CR-hypersurfaces of a conformal Kenmotsu manifold satisfying certain shape operator conditions, Periodica Mathematica Hungarica 73, 83-92, (2016). https://doi.org/10.1007/s10998-016-0131-6
3. Abdi, R. and Abedi, E., On the Ricci tensor of submanifolds in conformal Kenmotsu manifolds, Kyushu Journal of Math. 71, 257-269, (2017). https://doi.org/10.2206/kyushujm.71.257
4. Abdi, R. and Abedi, E., On normal Jacobi operator of CR-hypersurfaces in conformal Kenmotsu space forms, Siberian Math. Journal 58, 923-931, (2017). https://doi.org/10.1134/S0037446617060015
5. Abdi, R., External geometry of submanifolds in conformal Kenmotsu manifolds, Bulletin of the Iranian Mathematical Society, https://doi.org/10.1007/s41980-018-0082-1
6. Blair, D. E., Riemannian geometry of contact and symplectic manifolds, Birkhauser, Boston-Basel-Berlin, (2002). https://doi.org/10.1007/978-1-4757-3604-5
7. Gray A. and Hervella, L. M., Sixteen classes of almost Hermitian manifold and their linear invariants, Ann. Math. Pure Appl. 123, 35-58, (1980). https://doi.org/10.1007/BF01796539
8. Kenmotsu, K., A class of almost contact Riemannian manifolds, Tˆohoku Math. J. 24, 93-103, (1972). https://doi.org/10.2748/tmj/1178241594
9. Kobayashi, M., Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor (N.S.) 43, 28-36, (1986).
Published
2022-01-23
Issue
Section
Research Articles
License
When the manuscript is accepted for publication, the authors agree automatically to transfer the copyright to the (SPM).
The journal utilize the Creative Common Attribution (CC-BY 4.0).
