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Dergiler / Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics / 2013 / Volume: 62 Issue: 2

ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS

U.c. De
Krishnendu De
Sayfa
—
Yayın Tarihi
2013-08-01
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

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

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The object of the present paper is to study the Trans-Sasakianstructure on a manifold with Lorentzian metric.
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Temel Bulgular & Veri:Several interesting results areobtained on the manifold.
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Sonuç & Katkı: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
🔬Tür:Article
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lorentzian Trans-Sasakian manifold · -Einstein manifold · conformally *at manifold

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

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Bu Makaleye Atıf Yap

De, U., De, K. (2013). ON LORENTZIAN TRANS-SASAKIAN MANIFOLDS. Communications Faculty of Sciences University of Ankara Series A1 Mathematics and Statistics, Volume: 62 Issue: 2. https://doi.org/10.1501/Commua1_0000000697

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Kaynakça (23)

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  13. Mihai,I. and Rosca, R., On Lorentzian P-Sasakian Manifolds, Classical Analysis. World Scienti…c, Singapore, 1992 155
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  15. Shaikh, A. A., Baishya, K. K. and Eyasmin, S., On D-homothetic deformation of trans- sasakian structure, Demonstratio Mathematica, 1 2008, 171
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  19. Current address: Uday Chand De,, Department of Pure Mathematics,, Calcutta University,, Kol, Krishnendu De, Konnagar High School(H.S.),, 68 G.T. Road (West),Konnagar,Hooghly, Pin.712235, West Bengal, INDIA. Road,,West Bengal, INDIA.
  20. E-mail address: [email protected], [email protected] URL: http://communications.science.ankara.edu.tr/index.php?series=A1
  21. Matsumoto, K., Mihai,I. and Rosca, R., -null geodesic gradient vector …elds on a Lorentzian para-Sasakian manifold. J. Korean Math. Soc. 32(1995), 17
  22. Current address: Uday Chand De,, Department of Pure Mathematics,, Calcutta University,, Kol, Krishnendu De, Konnagar High School(H.S.),, 68 G.T. Road (West),Konnagar,Hooghly, Pin.712235, West Bengal, INDIA. Road,,West Bengal, INDIA.
  23. E-mail address: [email protected], [email protected] URL: http://communications.science.ankara.edu.tr/index.php?series=A1