ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS

Volume: 62 Number: 2 August 1, 2013
  • U.c. De
  • Krishnendu De
EN

ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS

Abstract

The object of the present paper is to study the Trans-Sasakianstructure on a manifold with Lorentzian metric. Several interesting results areobtained on the manifold. Also conformally *at Lorentzian Trans-Sasakianmanifolds have been studied. Next, in three- dimensional Lorentzian TransSasakian manifolds, explicit formulae for Ricci operator, Ricci tensor andcurvature tensor are obtained.Lorentzian Trans-Sasakian manifold of type ( ; ) is locallyand only if the scalar curvature r is constant providedFinally, we give some examples of three-dimensional Lorentzian Trans-Sasakianmanifold

Keywords

References

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  5. Gill, H. and Dube, K.K., Generalized CR- Submanifolds of a trans Lorentzian para Sasakian manifold, Proc. Nat. Acad. Sci. India Sec. A Phys. 2(2006), 119
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  7. Ikawa, T. and Erdogan, M., Sasakian manifolds with Lorentzian metric, Kyungpook Math. J. 35(1996), 517
  8. Marrero, J.C., The local structure of trans-sasakian manifolds, Ann.Mat.Pura Appl.(4)162 (1992),77-86.

Details

Primary Language

English

Subjects

-

Journal Section

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Authors

U.c. De This is me

Krishnendu De This is me

Publication Date

August 1, 2013

Submission Date

-

Acceptance Date

-

Published in Issue

Year 2013 Volume: 62 Number: 2

APA
De, U., & De, K. (2013). ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, 62(2), 37-51. https://doi.org/10.1501/Commua1_0000000697
AMA
1.De U, De K. ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62(2):37-51. doi:10.1501/Commua1_0000000697
Chicago
De, U.c., and Krishnendu De. 2013. “ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62 (2): 37-51. https://doi.org/10.1501/Commua1_0000000697.
EndNote
De U, De K (August 1, 2013) ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62 2 37–51.
IEEE
[1]U. De and K. De, “ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS”, Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat., vol. 62, no. 2, pp. 37–51, Aug. 2013, doi: 10.1501/Commua1_0000000697.
ISNAD
De, U.c. - De, Krishnendu. “ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics 62/2 (August 1, 2013): 37-51. https://doi.org/10.1501/Commua1_0000000697.
JAMA
1.De U, De K. ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013;62:37–51.
MLA
De, U.c., and Krishnendu De. “ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS”. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, vol. 62, no. 2, Aug. 2013, pp. 37-51, doi:10.1501/Commua1_0000000697.
Vancouver
1.U.c. De, Krishnendu De. ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS. Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat. 2013 Aug. 1;62(2):37-51. doi:10.1501/Commua1_0000000697

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