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Bir Kenmotsu Manifoldun Semi-İnvariant Altmanifoldlarının Submersiyonları

Yıl 2021, Cilt: 2 Sayı: 2, 1 - 7, 31.12.2021

Öz

Bu çalışmada , bir Kenmotsu manifoldun semi-invariant altmanifoldundan hemen hemen kontakt manifolda submersiyonlar incelendi.Submersiyonlar için temel teoremler ve eğrilik ilişkileri elde edildi.

Kaynakça

  • 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

Yıl 2021, Cilt: 2 Sayı: 2, 1 - 7, 31.12.2021

Öz

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.

Kaynakça

  • 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).
Toplam 11 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Araştırma Makaleleri
Yazarlar

Oğuzhan Özyol Bu kişi benim 0000-0003-3543-4872

Ramazan Sarı 0000-0002-4618-8243

Yayımlanma Tarihi 31 Aralık 2021
Gönderilme Tarihi 26 Kasım 2021
Yayımlandığı Sayı Yıl 2021 Cilt: 2 Sayı: 2

Kaynak Göster

Vancouver Özyol O, Sarı R. Submersions of Semi-Invariant Submanifolds of a Kenmotsu Manifold. BUTS. 2021;2(2):1-7.
Bu dergi; Bingöl Üniversitesi Teknik Bilimler dergi ekibi tarafından hazırlanmakta ve yayınlanmaktadır.