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Bir Kenmotsu Manifoldun Semi-İnvariant Altmanifoldlarının Submersiyonları

Year 2021, Volume: 2 Issue: 2, 1 - 7, 31.12.2021

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

  • 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).

Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold

Year 2021, Volume: 2 Issue: 2, 1 - 7, 31.12.2021

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).
There are 11 citations in total.

Details

Primary Language English
Journal Section Research Articles
Authors

Oğuzhan Özyol This is me 0000-0003-3543-4872

Ramazan Sarı 0000-0002-4618-8243

Publication Date December 31, 2021
Submission Date November 26, 2021
Published in Issue Year 2021 Volume: 2 Issue: 2

Cite

APA Özyol, O., & Sarı, R. (2021). Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold. Bingöl Üniversitesi Teknik Bilimler Dergisi, 2(2), 1-7.
AMA Özyol O, Sarı R. Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold. BUTS. December 2021;2(2):1-7.
Chicago Özyol, Oğuzhan, and Ramazan Sarı. “Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold”. Bingöl Üniversitesi Teknik Bilimler Dergisi 2, no. 2 (December 2021): 1-7.
EndNote Özyol O, Sarı R (December 1, 2021) Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold. Bingöl Üniversitesi Teknik Bilimler Dergisi 2 2 1–7.
IEEE O. Özyol and R. Sarı, “Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold”, BUTS, vol. 2, no. 2, pp. 1–7, 2021.
ISNAD Özyol, Oğuzhan - Sarı, Ramazan. “Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold”. Bingöl Üniversitesi Teknik Bilimler Dergisi 2/2 (December 2021), 1-7.
JAMA Özyol O, Sarı R. Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold. BUTS. 2021;2:1–7.
MLA Özyol, Oğuzhan and Ramazan Sarı. “Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold”. Bingöl Üniversitesi Teknik Bilimler Dergisi, vol. 2, no. 2, 2021, pp. 1-7.
Vancouver Özyol O, Sarı R. Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold. BUTS. 2021;2(2):1-7.
This journal is prepared and published by the Bingöl University Technical Sciences journal team.