Research Article

GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD

Volume: 1 Number: 2 October 9, 2019
Hagia Sophia Journal of Geometry Cover
Hagia Sophia Journal of Geometry
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GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD

Abstract

The aim of present paper is to study the generalized B-curvature tensor of a normal paracontact metric manifold satisfying the conditions generalized B-flatness, generalized B-semi symmetric, B.  Z = 0, B.S = 0 and B.P = 0, where B, Z, P, S denotes the generalized B-curvature tensor, concircular curvature tensor, projective curvature tensor and Ricci tensor, respectively.

Keywords

References

  1. Referans1- A. A. Shaikh, and H. Kundu, On Equivalency of Various Geometric Structures, J. geom., 105(2014), 139-165.
  2. Referans2- H. B. Pandey and A. Kumar, Anti invariant submanifolds of almost paracontact metric manifolds,Indian J. pure appl. math. 16 (6), 586-590, 1985.
  3. Referans3- J. Welyczko. On Legendre curvaes in 3-dimensional normal almost paracontact metric manifolds,Result. Math. 54, 377-387, 2009.
  4. Referans4- J.Welyczko. Slant curves in 3-dimensional normal contact metric manifolds, Mediterr. J. Math.11, 965-978, 2014.
  5. Referans5- K. Yano and S. Sawaki, Riemannian manifolds admitting a conformal transformation group, J.Diff. Geom.2 (1968), 161-184.
  6. Referans6- K. Yano, Concircular geometry, Proc. Imp. Acad., Tokyo, 16 (1940), 195-200.
  7. Referans7- K. Yano and M. Kon, Structures of manifolds, World Scientific Publishing, Singapore 1984.
  8. Referans8- S. Kenayuki and F. L. Williams, Almost paracontact and parahodge structures on manifolds,Nagoya Math. J., vol. 99, 173-187, 1985.

Details

Primary Language

English

Subjects

-

Journal Section

Research Article

Authors

Publication Date

October 9, 2019

Submission Date

July 29, 2019

Acceptance Date

October 9, 2019

Published in Issue

Year 2019 Volume: 1 Number: 2

IZ

https://izlik.org/JA93ZN45HY

Cite

RIS / Bibtex
APA
Atçeken, M., Yıldırım, Ü., & Dirik, S. (2019). GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD. Hagia Sophia Journal of Geometry, 1(2), 1-7. https://izlik.org/JA93ZN45HY
AMA
1.Atçeken M, Yıldırım Ü, Dirik S. GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD. HSJG. 2019;1(2):1-7. https://izlik.org/JA93ZN45HY
Chicago
Atçeken, Mehmet, Ümit Yıldırım, and Süleyman Dirik. 2019. “GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD”. Hagia Sophia Journal of Geometry 1 (2): 1-7. https://izlik.org/JA93ZN45HY.
EndNote
Atçeken M, Yıldırım Ü, Dirik S (October 1, 2019) GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD. Hagia Sophia Journal of Geometry 1 2 1–7.
IEEE
[1]M. Atçeken, Ü. Yıldırım, and S. Dirik, “GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD”, HSJG, vol. 1, no. 2, pp. 1–7, Oct. 2019, [Online]. Available: https://izlik.org/JA93ZN45HY
ISNAD
Atçeken, Mehmet - Yıldırım, Ümit - Dirik, Süleyman. “GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD”. Hagia Sophia Journal of Geometry 1/2 (October 1, 2019): 1-7. https://izlik.org/JA93ZN45HY.
JAMA
1.Atçeken M, Yıldırım Ü, Dirik S. GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD. HSJG. 2019;1:1–7.
MLA
Atçeken, Mehmet, et al. “GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD”. Hagia Sophia Journal of Geometry, vol. 1, no. 2, Oct. 2019, pp. 1-7, https://izlik.org/JA93ZN45HY.
Vancouver
1.Mehmet Atçeken, Ümit Yıldırım, Süleyman Dirik. GENERALIZED B-CURVATURE TENSOR OF A NORMAL PARACONTACT METRIC MANIFOLD. HSJG [Internet]. 2019 Oct. 1;1(2):1-7. Available from: https://izlik.org/JA93ZN45HY