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Journals / TWMS Journal of Applied and Engineering Mathematics / 2017 / Volume: 7 Issue: 2

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

J. P. Jaiswal(Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, M. P. India.)
A. S. Yadav(Department of Mathematics, Maulana Azad National Institute of Technology, Bhopal, M. P. India)
Pages
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Publication Date
2017-12-01
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

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

📌 3 Key Takeaways

🎯
Objective & Hypothesis: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.
📊
Key Findings & Data:First, we observe that m-projectively at trans-Sasakian manifold is Einstein.
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Conclusion & Impact:In the end, the m-projectively and -m- projectively symmetric trans-Sasakian manifolds are analyzed.
🔬Design:Article
📍Scope:Comprehensive Sample
⚙️Variables: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.

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Cite This Article

Jaiswal, J. P., Yadav, A. S. (2017). ON TRANS-SASAKIAN MANIFOLD EQUIPPED WITH m-PROJECTIVE CURVATURE TENSOR. TWMS Journal of Applied and Engineering Mathematics, Volume: 7 Issue: 2. https://ajindex.com/articles/1604543

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References (15)

  1. Blair,D.E., (1976), Contact manifolds in Riemannian geometry, Lecture Notes in Math. 509, Springer Verlag.
  2. Cartan,E., (1926), Sur une classes remarquable d’espaces de Riemann, Bull. Soc. Math. France, 54, pp.214-26.
  3. 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.
  4. De,U.C. and Shaikh,A.A., (2009), Complex manifolds and contact manifolds, Narosa Publication, New Delhi, India.
  5. Hicks,N.J., (1969), Notes on Differential Geometry, Affiliated East West Press Pvt. Ltd.
  6. Ojha,R.H., (1975), A note on the mprojective curvature tensor, Indian J. Pure Appl. Math., 8 (12), pp.1531-1534.
  7. Ojha,R.H., (1986), m-projectively flat Sasakian manifolds, Indian J. Pure Appl. Math., 17 (4), pp.1531-1534.
  8. Oubina,J.A., (1985), New classes of almost contact metric structures, Publ. Math. Debrecen, 32, pp.21-38.
  9. Pokhariyal,G.P. and Mishra,R.S., (1971), Curvature tensors and their relativistic significance-ii, Yoko- hama Math. J., 19, pp.97-103.
  10. Prakash,A., Ahmad,M., and Srivastava,A., (2013), m-projective curvature tensors on a LP-Sasakian manifolds, IOSR J. Math., 6, pp.19-23.
  11. Prasad,R. and Srivastava,V., (2013), Some results on trans-Sasakian manifolds, Math. Vesnik, 65, pp.346-352.
  12. Singh,J.P., (2015), On the M -projective curvature tensor of Sasakian manifold, Sci. Vis., 15 (2), pp.76-79.
  13. Takahashi,T., (1977), Sasakian φ-symmetric space, Tohoku Math. J., 29, pp.91-113.
  14. Tamassy,L. and Binh,T.Q., (1989), On weakly symmetric and weakly projective symmetric Riemann- ian manifold, Colloquia Math. Soc., 50, pp.663-667.
  15. Zengin,F.O., (2013), On m-projectively flat LP-Sasakian manifolds, Ukr. Math. J., 65, pp.1725-1732.