Dergiler / Turkish Journal of Mathematics / 2021 / Cilt: 45 - Sayı: 6

A semisymmetric metric connection on almost contact B−metric manifolds

Sayfa
2455–2465
Yayın Tarihi
2022-11-01
DOI
—
🏛️Bu makalenin bibliyografik verileri ve tam metin bağlantısı DergiPark üzerinden sağlanmıştır.
DergiPark Kaydı ↗
✨

Yapay Zeka Hızlı Bakış & Çıkarımlar

AI Insight
⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

Finally, we give some examples to considered manifolds with the semisymmetric connection.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The object of the present paper is to study a semisymmetric metric connection on an almost contact B−metric manifold.
📊
Temel Bulgular & Veri:We deduce a relation between the Levi–Civita connection and the semisymmetric metric connection on the considered manifold.
💡
Sonuç & Katkı:Finally, we give some examples to considered manifolds with the semisymmetric connection.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Alan Parametreleri

Abstract

The object of the present paper is to study a semisymmetric metric connection on an almost contact B−metric manifold. We deduce a relation between the Levi–Civita connection and the semisymmetric metric connection on the considered manifold. We determined the class of the torsion tensor corresponding to the semisymmetric connection. We study Ricci-like solitons on almost contact B−metric manifolds with the semisymmetric connection. Finally, we give some examples to considered manifolds with the semisymmetric connection.

🔖

Bu Makaleye Atıf Yap

BULUT, Ş. (2022). A semisymmetric metric connection on almost contact B−metric manifolds. Turkish Journal of Mathematics, Cilt: 45 - Sayı: 6, 2455–2465. https://ajindex.com/articles/607408

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (17)

  1. Chaubey SK, Yadav SK. Study of Kenmotsu manifolds with semi-symmetric connection. Universal Journal of Mathematics and Applications 2018; 1 (2): 89-97
  2. De UC, Pathok G. On a semi-symmetric metric connection in a Kenmotsu manifold. Bulletin of the Calcutta Mathematical Society 2002; 94: 319-324
  3. Ganchev G, Mihova V, Gribachev K. Almost contact manifolds with B−metric. Mathematica Balkanica, New Series 1993; 7: 261-276
  4. Imai T. Notes on semi-symmetric metric connections. Tensor (N.S.) 1972; 24: 293-296
  5. Ivanov S, Manev H, Manev M. Sasaki-like almost contact complex Riemannian manifolds. Journal of Geometry and Physics 2016; 107: 136-148
  6. Manev M, Ivanova M. A classification of the torsion tensors on an almost contact manifolds with B−metric. Central European Journal of Mathematics 2014; 12 (10): 1416-1432
  7. Manev M. Ricci-like solitons on almost contact B−metric manifolds. Journal of Geometry and Physics 2020; 154: 103734
  8. Manev M, Ivanova M. Canonical-type connection on almost contact manifolds with B−metric. Annals of Global Analysis and Geometry 2013; 43: 397-408
  9. Manev M. Contactly conformal transformations of general type of almost contact manifold with B−metric. Applications. Mathematica Balkanica, New Series 1997; 11: 347-357
  10. Manev H, Mekerov D. Lie groups as 3-dimensional almost contact B−metric manifolds. Journal of Geometry 2015; 106: 229-242
  11. Mishra RS, Pandey SN. Semi-symmetric metric connections in an almost contact manifold. Indian Journal of Pure and Applied Mathematics 1978; 9 (6): 570-580
  12. Nagaraja HG, Premalatha CR. Ricci solitons in Kenmotsu manifolds. Journal of Mathematical Analysis 2012; 3 (2): 18-24
  13. Pravanović M, Pušić N. On manifolds admitting some semi-symmetric metric connection. Indian Journal of Mathematics 1995; 37: 37-67
  14. Sharfuddin A, Husain SI. Semi-symmetric metric connections in almost contact manifolds. Tensor (N.S.) 1976; 30: 133-139
  15. Sharma R. Certain results on K-contact and (κ, μ)−contact manifolds. Journal of Geometry 2008; 89 (1-2): 138-147
  16. Tripathi MM. A new connection in a Riemannian manifold. International Electronic Journal of Geometry 2008; 1: 15-24
  17. Yano K. On semi-symmetric metric connection. Revue Roumaine de Mathématique Pures et Appliquées 1970; 15: 1579-1586.