KaydedilenlerDerginizi ekleyin

Dergiler / TWMS Journal of Applied and Engineering Mathematics / 2017 / Cilt: 7 - Sayı: 2

ON TRANS-SASAKIAN MANIFOLD EQUIPPED WITH m-PROJECTIVE CURVATURE TENSOR

J. P. JAİSWAL
A. S. YADAV
Sayfa
282–290
Yayın Tarihi
2017-12-01
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)

In the end, the m-projectively and -m- projectively symmetric trans-Sasakian manifolds are analyzed.

📌 3 Maddede Bu Makale

🎯
Amaç & Hipotez:The work towards of the attending paper is to interpret the trans-Sasakian manifold equipped with m-projective curvature tensor and its various geometric proper- ties.
📊
Temel Bulgular & Veri:First, we observe that m-projectively at trans-Sasakian manifold is Einstein.
💡
Sonuç & Katkı:In the end, the m-projectively and -m- projectively symmetric trans-Sasakian manifolds are analyzed.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Trans-Sasakian manifold · m-projectively at · Einstein manifold

Abstract

The work towards of the attending paper is to interpret the trans-Sasakian manifold equipped with m-projective curvature tensor and its various geometric proper- ties. First, we observe that m-projectively at trans-Sasakian manifold is Einstein. In order, we discussed m-projectively conservative and -m-projectively at trans-Sasakian manifold. Following, we found the sucient condition for quasi m-projectively at trans- Sasakian manifold to be m-projectively at. In the end, the m-projectively and -m- projectively symmetric trans-Sasakian manifolds are analyzed.

🔖

Bu Makaleye Atıf Yap

JAİSWAL, J. P., YADAV, A. S. (2017). ON TRANS-SASAKIAN MANIFOLD EQUIPPED WITH m-PROJECTIVE CURVATURE TENSOR. TWMS Journal of Applied and Engineering Mathematics, Cilt: 7 - Sayı: 2, 282–290. https://ajindex.com/articles/846425

📄 Tam Metin PDF Okuyucu

📄

PDF görüntüleyici hazırlanıyor...

Kaynakça (2)

  1. Blair,D.E., (1976), Contact manifolds in Riemannian geometry, Lecture Notes in Math. 509, Springer Verlag. Cartan,E., (1926), Sur une classes remarquable d’espaces de Riemann, Bull. Soc. Math. France, 54, pp.214-26. Chaubey,S.K. and Ojha,R.H., (2010), On the m-projective curvature tensor of a Kenmotsu manifold, Diff. Geom. Dyn. Sys., 12, pp.52-60. De,U.C. and Shaikh,A.A., (2009), Complex manifolds and contact manifolds, Narosa Publication, New Delhi, India. Hicks,N.J., (1969),
  2. Notes on Differential Geometry, Affiliated East West Press Pvt. Ltd. Ojha,R.H., (1975), A note on the mprojective curvature tensor, Indian J. Pure Appl. Math., 8 (12), pp.1531-1534. Ojha,R.H., (1986), m-projectively flat Sasakian manifolds, Indian J. Pure Appl. Math., 17 (4), pp.1531-1534. Oubina,J.A., (1985), New classes of almost contact metric structures, Publ. Math. Debrecen, 32, pp.21-38. Pokhariyal,G.P. and Mishra,R.S., (1971), Curvature tensors and their relativistic significance-ii, Yoko- hama Math. J., 19, pp.97-103. Prakash,A., Ahmad,M., and Srivastava,A., (2013), m-projective curvature tensors on a LP-Sasakian manifolds, IOSR J. Math., 6, pp.19-23. Prasad,R. and Srivastava,V., (2013), Some results on trans-Sasakian manifolds, Math. Vesnik, 65, pp.346-352. Singh,J.P., (2015), On the M -projective curvature tensor of Sasakian manifold, Sci. Vis., 15 (2), pp.76-79. Takahashi,T., (1977), Sasakian φ-symmetric space, Tohoku Math. J., 29, pp.91-113. Tamassy,L. and Binh,T.Q., (1989), On weakly symmetric and weakly projective symmetric Riemann- ian manifold, Colloquia Math. Soc., 50, pp.663-667. Zengin,F.O., (2013), On m-projectively flat LP-Sasakian manifolds, Ukr. Math. J., 65, pp.1725-1732.