Bir Kenmotsu Manifoldun Semi-İnvariant Altmanifoldlarının Submersiyonları
Year 2021,
Volume: 2 Issue: 2, 1 - 7, 31.12.2021
Oğuzhan Özyol
Ramazan Sarı
Abstract
Bu çalışmada , bir Kenmotsu manifoldun semi-invariant altmanifoldundan hemen hemen kontakt manifolda submersiyonlar incelendi.Submersiyonlar için temel teoremler ve eğrilik ilişkileri elde edildi.
References
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- Referans2 A.Bejansu and N. Papaghuic, CR-submanifolds of Kenmotsu manifold, Rend. Math. (7) (1984), no. 4, 607-622
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- Referans9 N. Papaghiuc, Submersions of semi-invariant submanifolds of a Sasakian manifold, An. Ştiint. Univ. Al. I. Cuza Iaşi Sect. I a Mat.35 (1989), no. 3, 281-288.
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- Referans11 Sinha, B.B., Srivastava, A.K., ”Semi-invariant submanifolds of a Kenmotsu manifold with constant Φ-holomorphic sectional curvature”, Indian J. Pure Appl. Math. 23(11): 783-789 (1992).
Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold
Year 2021,
Volume: 2 Issue: 2, 1 - 7, 31.12.2021
Oğuzhan Özyol
Ramazan Sarı
Abstract
In this paper, we introduce the submersions of semi-invariant submanifolds of a Kenmotsu manifold onto almost contact manifold. We also obtain the decomposition theorems for such submersions and derive the relation between curvatures.
References
- Referans1 A.Bejansu, CR submanifolds of Kaehler manifold. I, Proc. Amer. Math. Soc. 69 (1978), no. 1, 135-142.
- Referans2 A.Bejansu and N. Papaghuic, CR-submanifolds of Kenmotsu manifold, Rend. Math. (7) (1984), no. 4, 607-622
- Referans3 B. Chen, CR-submanifolds of a Kaehler manifold. I, J. Differential Geom. 16 (1981), no. 2, 305-322.
- Referans4 M. Falcitelli, S. Ianus, A. M. Pastore and M. Visinescu, Some applications of Riemannian submersions in physics, Rev. Roum. Phys. 48 (2003), 627-639.
- Referans5 Kenmotsu, K., ”A class of almost contact Riemannian manifolds”, Tohoku Math. Journ., 24: 93-103 (1972).
- Referans6 S. Kobayashi, Submersions of CR submanifolds, Tohoku Math. J. (2) 39 (1987), no. 1, 95-100.
- Referans7 K. Matsumoto, M.H. Shahid and I. Mihai, Semi-invariant submanifolds of certain almost contact manifolds, Bull. Yamagata Unıv. Natur. Sci. 13. (1994), no. 3, 183-192.
- Referans8 B. O’Neill, The fundamental equations of a submersion, Michigan Math. J. 13 (1966), 459-469.
- Referans9 N. Papaghiuc, Submersions of semi-invariant submanifolds of a Sasakian manifold, An. Ştiint. Univ. Al. I. Cuza Iaşi Sect. I a Mat.35 (1989), no. 3, 281-288.
- Referans10 M. H. Shahid, F. R. Al-Solamy, J. Jun, M. Ahmad, Submersion of Semi-invariant Submanifolds of Trans-Sasakian Manifold, Bull. Malaysian Math. Sci. Soc., 36, No.1 (2013), 63-71.
- Referans11 Sinha, B.B., Srivastava, A.K., ”Semi-invariant submanifolds of a Kenmotsu manifold with constant Φ-holomorphic sectional curvature”, Indian J. Pure Appl. Math. 23(11): 783-789 (1992).