On Lorentzian Α–Sasakian Manifolds

On Lorentzian Α–Sasakian Manifolds

Archana Srivastava

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Amit Prakash

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α Dr. A.P.J. Abdul Kalam Technical University

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Abstract

The object of this paper to study various curvature tensors in a Lorentzian 𝛼𝛼-Sasakian manifold, we also study 𝜑𝜑-pseudo projectively flat, 𝜑𝜑-quasi conformally flat, 𝜑𝜑-quasi concircularly flat, 𝜑𝜑-𝑚𝑚-projectively flat Lorentzian 𝛼𝛼-Sasakian manifolds are an 𝜂𝜂-Einstein Manifold.

References

27 Cites in Article

Reference Format

K Arslan,C Murathan,𝑂𝑂,̈𝑅𝑅c (2000). On φ -Conformally flat contact metric manifolds.
D Blair (1976). Contact manifolds in Riemannian geometry.
D Blair,J Oubina (1990). Conformal and related changes of metric on the product of two almost contact metric manifolds.
J Cabrerizo,L Fernández,M Fernández,Guo Zhen (1999). The Structure of a Class of K-contact Manifolds.
Chakim Gupta,G (1963). On Conformally Symmetric Spaces.
D Chinea,C Gonzales (1987). Curvature relations in trans-Sasakian manifolds.
U De,M Tripathi (2003). Ricci Tensor in 3-dimensional Trans-Sasakian manifolds.
Alfred Gray,Luis Hervella (1980). The sixteen classes of almost Hermitian manifolds and their linear invariants.
Y Ishii (1957). On Conharmonic transformations.
D Jansen,L Vanhecke (1981). Almost contact structures and curvature tensors.
Jeong-Sik Kim,Rajendra Prasad,Mukut-Mani Tripathi (2002). ON GENERALIZED RICCI-RECURRENT TRANS-SASAKIAN MANIFOLDS.
J Marrero (1992). The local structure of trans-Sasakian manifolds.
J Marrero,D Chinea (1989). On trans-Sasakian manifolds.
Prakash Narain,D Prasad,B (2009). Quasiconcircular curvature tensor on Lorentzian para-Sasakian manifold.
C 𝑂𝑂 ̈𝑍𝑍𝐺𝐺𝑈𝑈 ̈𝑅𝑅,U De (2006). On the quasi-conformal curvature tensor of a Kenmotsu manifold.
C 𝑂𝑂 ̈𝑍𝑍𝐺𝐺𝑈𝑈 ̈𝑅𝑅 (2003). φ-Conformally flat Lorentzian para-Sasakian manifolds.
G Pokhariyal,R Mishra (1971). Relativistic segnificance of curvature tensors.
B Prasad,A Maurya Quasi concircular curvature tensor on a Riemannian manifold.
B Prasad (2002). A pseudo projective curvature tensor on a Riemannian manifold.
Shûkichi Tanno (1969). The automorphism groups of almost contact Riemannian manifolds.
M Tripathi (2000). Trans-Sasakian manifolds are generalized quasi-Sasakian.
K Yano,M Kon (1984). Structures on manifolds.
Kentaro Yano,Sumio Sawaki (1968). Riemannian manifolds admitting a conformal transformation group.
Ahmet Yildiz,Mine Turan,Cengizhan Murathan (2005). A Class of Lorentzian α-Sasakian Manifolds.
Ahmet Yildiz,Mine Turan,Cengizhan Murathan (2009). A Class of Lorentzian α-Sasakian Manifolds.
G Zhen (2000). On conformal symmetric K-contact manifolds.
G Zhen,J Cabrerizo,M Fernandez (1997). On ξ -conformally flat contact metric manifold.

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Funding

No external funding was declared for this work.

Conflict of Interest

The authors declare no conflict of interest.

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No ethics committee approval was required for this article type.

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How to Cite This Article

Archana Srivastava. 2020. \u201cOn Lorentzian Α–Sasakian Manifolds\u201d. Global Journal of Science Frontier Research - F: Mathematics & Decision GJSFR-F Volume 20 (GJSFR Volume 20 Issue F2): .

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GJSFR Volume 20 Issue F2
Pg. 11- 19

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Journal Specifications

Crossref Journal DOI 10.17406/GJSFR

Print ISSN 0975-5896

e-ISSN 2249-4626

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GJSFR-F Classification: MSC 2010: 53C25

Submission ReceivedJanuary 8, 2020
Peer Review Double Blind
Handling Editor
Accepted February 5, 2020
Published February 19, 2020

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v1.2

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March 23, 2020

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