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Lorentzian Para Sasakian Manifolds Admitting Special Semi Symmetric Recurrent Metric Connection

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Lorentzian Para Sasakian Manifolds Admitting Special Semi Symmetric Recurrent Metric Connection

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Abstract

Several author as Agashe and Chafle [1], Sengupta, De. U.C, Binh [4] and many other introduced semi symmetric non metric connection in different way. In this paper we have studied LP sasakian manifold with special semi-symmetric recurrent metric connection [2] and discuss it exientance in LP sasakian manifold. In section 3 we establish the relation between the Riemannian connection and special semi-symmetric recurrent metric connection on LP sasakian manifold [4]. The section 4 deals with ξ-conformaly flat and ∅ concircularly flat of n dimensional LP sasakian manifold and we proved that ξ-conformaly flatness with special semi-symmetric recurrent metric connection and Riemannian manifold coincide.

References

5 Cites in Article
  1. 1. N. Agashe,M. Chafle (1992). A semi symmetric non metric connection on a Riema-nnian Manifold. Indian. J. Pure appl. Math, 399-409.
  2. 2. Y. Liang (1994). Liang,Y: On semi symmetric recurrent metric connection. Tensor N. S, 55, 107-112.
  3. 3. G. Zhen,Cabrezizo Fernander,L. (1997). L, Fernander, L.M and Fernander: on ξ conformally flat contact metric manifold Indian J Pure appl. Indian J. Pure. appl. math, 28, 725-734.
  4. 4. L. Dsa,U. De,R. Singh,M. Pandey (2008). K: Lorentzian manifold admittin a type of semi symmetric non metric connection Tensor N. Tensor N. S, 70, 70-85.
  5. 5. M. Mosmuto on Lorentizian para contact manifold.

Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

Ethical Approval

No ethics committee approval was required for this article type.

Data Availability

Not applicable for this article.

How to Cite This Article

Sunil K Srivastava. 2013. "Lorentzian Para Sasakian Manifolds Admitting Special Semi Symmetric Recurrent Metric Connection". Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 13 (GJSFR Volume 13 Issue 31 (F7)).

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

Keywords
Classification
GJSFR-F Classification MSC 2000: 53C25
Version of record
v1.2

Issue date
July 3, 2013

Language
English
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Lorentzian Para Sasakian Manifolds Admitting Special Semi Symmetric Recurrent Metric Connection

Sunil Srivastava
Sunil Srivastava COLUMBIA INSTITUTE OF ENGG AND TECHNOLOGY RAIPUR