KaydedilenlerDerginizi ekleyin

Dergiler / International Electronic Journal of Geometry / 2018 / Cilt: 11 - Sayı: 1

Concircular Vectors Field in (kappa; mu)-Contact Metric Manifolds

Pradip MAJHİ
Gopal GHOSH
Sayfa
52–56
Yayın Tarihi
2018-04-30
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)

We prove that in both the cases the manifold becomes aSasakian manifold under certain restriction on kappa, mu.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The aim of the present paper is to study (kappa,mu)-contact manifolds admitting a non-null concircularvector field and concurrent vector field.
📊
Temel Bulgular & Veri:The aim of the present paper is to study (kappa,mu)-contact manifolds admitting a non-null concircularvector field and concurrent vector field.
💡
Sonuç & Katkı:We prove that in both the cases the manifold becomes aSasakian manifold under certain restriction on kappa, mu.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:(kappa · mu) contact manifolds · Concircular vector field

Abstract

The aim of the present paper is to study (kappa,mu)-contact manifolds admitting a non-null concircularvector field and concurrent vector field. We prove that in both the cases the manifold becomes aSasakian manifold under certain restriction on kappa, mu.

🔖

Bu Makaleye Atıf Yap

MAJHİ, P., GHOSH, G. (2018). Concircular Vectors Field in (kappa; mu)-Contact Metric Manifolds. International Electronic Journal of Geometry, Cilt: 11 - Sayı: 1, 52–56. https://ajindex.com/articles/672095

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (18)

  1. Blair, D. E., Koufogiorgos, T., Papantoniou, B. J., Contact metric manifolds satisfying a nullity condition, Israel J. Math., 91(1995), 189-214
  2. Blair, D. E., Contact manifolds in Riemannian geomatry, Lecture notes in math., springer-verlag, 509(1976)
  3. Blair, D. E., Riemannian geomatry of contact and Sympletic Manifolds, Progress in Math., Birkhuser, Boston, 203(2002)
  4. Boeckx, E., A full clasification of contact metric (kappa,mu)- spaces, Illinois J. Math., 44(2000), 212-219
  5. Bagewadi, C. S., Venkatesha., Torseforming vector field in a Tran-Sasakian manifold, Differential Geometry-Dynamical System, 8(2006), 23-28
  6. De, U. C., Kim, Y. H., Shaikh, A. A., Contact metric manifolds with  belong to the (k; )-nullity distribution, Indian J. Math., 47(2005), 295-304
  7. De, U. C., Pathak, G., Torseforming vector field in a Kenmotsu manifold, Analele Stintifice Ale Universitatii "AL. I. CUZA", XLIX(2003), 257-264
  8. De, U. C., Ghosh, S., On quasi-conformal curvature tensor of (kappa,mu)-contact manifolds, Lobachevskii J. Math. 31(2010), 367-375
  9. De, U. C., Sarkar, A., On quasi-conformal curvature tensor of (kappa,mu)-contact manifolds, Math. Rep. (Bucur), 64(2012), 115-129
  10. De, U. C., Jun, J. B., Samui, S., Certain semisymmetry properties of (kappa,mu)-contact manifolds, Bull.Korean. Math. Soc. 53(2012), 1237-1247
  11. Ghosh, S., De, U. C., On a class of (kappa,mu)-contact manifolds, Analele universitattii oradea, Fasc. Mathematica, XIX(2012), 231-242
  12. Papantoniou, B. J., Contact manifolds,harmonic curvature tensor and (kappa,mu)-nullity distribution, Comment Math. Univ. Carolinne, 34(1993), 323-334
  13. Shirokov, P. A., Collected works of geometry, Kazan Univ. Press, (1966)
  14. Tanno, T., The topology of contact Riemannian-manifolds, Illinois J. Math., 12 (1968), 700-717
  15. Yildiz, A., De, U. C., A classification of (kappa,mu)-contact manifolds, Commun. Korean Math. Soc.,27(2012), 327-339
  16. Yildiz, A., Jun, J. B., De, U. C., On phi recurrent (kappa,mu)-contact manifolds, Bull. Korean Math. Soc., 45(2008), 689-700
  17. Yildiz, A., Murathan, C., Contact Riemannian manifolds satisfying C(;X)  S = 0 and  2 (kappa,mu)-nullity distribution, Commun. Fac. Sci. Univ. Ank. Ser. A1. Math. Stat., 49(2000), 33-37
  18. Yano, K., On the torseforming direction in Riemannian spaces, Proc. Imp. Acad. Tokyo, 20(1994), 340-345.