Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2018, Cilt: 1 Sayı: 2, 112 - 117, 25.12.2018
https://doi.org/10.33401/fujma.469933

Öz

Kaynakça

  • [1] J. A. Oubina, New class of almost contact metric structures, Publ Math Debrecen, 32 (1958), 187–193.
  • [2] C. Gherge, Harmonicity on nearly trans-Sasaki manifolds, Demostratio Math., 33 (2000), 151–157.
  • [3] M. Kobayashi, Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor, 43 (1986), 28–36.
  • [4] S. J. Kim, X. Lin, M. M. Tripathi, On semi-invariant submanifolds of nearly trans-Sasakian manifolds, Int. J. Pure Appl. Math., (2004), 15–34.
  • [5] M. Ahmad, Semi-invariant submanifolds of nearly Kenmotsu manifoldwith the canonical semi-symmetric semi-metric connection, Mat. Vesnik, 62 (2009), 189–198.
  • [6] M. H. Shahid, Almost semi invariant submanifold of trans-Sasakian manifolds, Bull. Math. Soc. Sci. Math., Roumanie, 37(85) (3-4) (1993), 133–147.
  • [7] M. H. Shahid, F. R. Al-Solamy, J.B. Jun, M. Ahmad, Submersion of semi-invariant submanifolds of trans-Sasakian manifold, Bull. Malays. Math. Sci. Soc., 36(1) (2013)(2), 63—71.
  • [8] B. B. Sinha, R. K. Yadav, On almost trans-Sasakian Finsler manifolds, Indian J. Pure Appl. Math., 22(3) (1991), 185–192.
  • [9] A. F. Yaliniz, N. Caliskan, Sasakian Finsler manifolds, Turkish J. Math., 37(2) (2013), 319–339.

On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds

Yıl 2018, Cilt: 1 Sayı: 2, 112 - 117, 25.12.2018
https://doi.org/10.33401/fujma.469933

Öz

We define trans-Sasakian Finsler manifold $\bar{F}^{2n+1}=(\mathcal{\bar{N}}, \mathcal{\bar{N^{\prime }}}, \bar{F})$ and semi-invariant submanifold $F^{m}=(\mathcal{N}, \mathcal {N^{\prime }}, F)$ of a trans-Sasakian Finsler manifold $\bar{F}^{2n+1}$. Then we study mixed totally geodesic and totally umbilical semi-invariant submanifolds of trans Sasakian Finsler manifold.

Kaynakça

  • [1] J. A. Oubina, New class of almost contact metric structures, Publ Math Debrecen, 32 (1958), 187–193.
  • [2] C. Gherge, Harmonicity on nearly trans-Sasaki manifolds, Demostratio Math., 33 (2000), 151–157.
  • [3] M. Kobayashi, Semi-invariant submanifolds of a certain class of almost contact manifolds, Tensor, 43 (1986), 28–36.
  • [4] S. J. Kim, X. Lin, M. M. Tripathi, On semi-invariant submanifolds of nearly trans-Sasakian manifolds, Int. J. Pure Appl. Math., (2004), 15–34.
  • [5] M. Ahmad, Semi-invariant submanifolds of nearly Kenmotsu manifoldwith the canonical semi-symmetric semi-metric connection, Mat. Vesnik, 62 (2009), 189–198.
  • [6] M. H. Shahid, Almost semi invariant submanifold of trans-Sasakian manifolds, Bull. Math. Soc. Sci. Math., Roumanie, 37(85) (3-4) (1993), 133–147.
  • [7] M. H. Shahid, F. R. Al-Solamy, J.B. Jun, M. Ahmad, Submersion of semi-invariant submanifolds of trans-Sasakian manifold, Bull. Malays. Math. Sci. Soc., 36(1) (2013)(2), 63—71.
  • [8] B. B. Sinha, R. K. Yadav, On almost trans-Sasakian Finsler manifolds, Indian J. Pure Appl. Math., 22(3) (1991), 185–192.
  • [9] A. F. Yaliniz, N. Caliskan, Sasakian Finsler manifolds, Turkish J. Math., 37(2) (2013), 319–339.
Toplam 9 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular Matematik
Bölüm Makaleler
Yazarlar

Ayşe Funda Sağlamer Bu kişi benim 0000-0001-5162-6378

Nesrin Çalışkan 0000-0002-3189-177X

Yayımlanma Tarihi 25 Aralık 2018
Gönderilme Tarihi 12 Ekim 2018
Kabul Tarihi 29 Kasım 2018
Yayımlandığı Sayı Yıl 2018 Cilt: 1 Sayı: 2

Kaynak Göster

APA Sağlamer, A. F., & Çalışkan, N. (2018). On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds. Fundamental Journal of Mathematics and Applications, 1(2), 112-117. https://doi.org/10.33401/fujma.469933
AMA Sağlamer AF, Çalışkan N. On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds. FUJMA. Aralık 2018;1(2):112-117. doi:10.33401/fujma.469933
Chicago Sağlamer, Ayşe Funda, ve Nesrin Çalışkan. “On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds”. Fundamental Journal of Mathematics and Applications 1, sy. 2 (Aralık 2018): 112-17. https://doi.org/10.33401/fujma.469933.
EndNote Sağlamer AF, Çalışkan N (01 Aralık 2018) On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds. Fundamental Journal of Mathematics and Applications 1 2 112–117.
IEEE A. F. Sağlamer ve N. Çalışkan, “On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds”, FUJMA, c. 1, sy. 2, ss. 112–117, 2018, doi: 10.33401/fujma.469933.
ISNAD Sağlamer, Ayşe Funda - Çalışkan, Nesrin. “On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds”. Fundamental Journal of Mathematics and Applications 1/2 (Aralık 2018), 112-117. https://doi.org/10.33401/fujma.469933.
JAMA Sağlamer AF, Çalışkan N. On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds. FUJMA. 2018;1:112–117.
MLA Sağlamer, Ayşe Funda ve Nesrin Çalışkan. “On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds”. Fundamental Journal of Mathematics and Applications, c. 1, sy. 2, 2018, ss. 112-7, doi:10.33401/fujma.469933.
Vancouver Sağlamer AF, Çalışkan N. On Semi-Invariant Submanifolds of Trans-Sasakian Finsler Manifolds. FUJMA. 2018;1(2):112-7.

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