Dergiler / Konuralp Journal of Mathematics / 2019 / Cilt: 7 - Sayı: 2

A Study on Lorentzian $\alpha -$Sasakian Manifolds

Sayfa
324–332
Yayın Tarihi
2019-10-15
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the last, we provide an example of 3-dimensional Lorentzian $\alpha -$Sasakian manifold endowed with the quarter-symmetric metric connection which is under consideration is an $\eta -$Einstein manifold with respect to the quarter-symmetric metric connection.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:The object of the present paper is to study the geometric properties of Concircular curvature tensor on Lorentzian $\alpha -$Sasakian manifold admitting a type of quarter-symmetric metric connection.
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Temel Bulgular & Veri:The object of the present paper is to study the geometric properties of Concircular curvature tensor on Lorentzian $\alpha -$Sasakian manifold admitting a type of quarter-symmetric metric connection.
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Sonuç & Katkı:In the last, we provide an example of 3-dimensional Lorentzian $\alpha -$Sasakian manifold endowed with the quarter-symmetric metric connection which is under consideration is an $\eta -$Einstein manifold with respect to the quarter-symmetric metric connection.
🔬Tür:Araştırma Makalesi
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Lorentzian $\alpha $-Sasakian manifolds · Quarter-symmetric metric connection · Concircular curvature tensor

Abstract

The object of the present paper is to study the geometric properties of Concircular curvature tensor on Lorentzian $\alpha -$Sasakian manifold admitting a type of quarter-symmetric metric connection. In the last, we provide an example of 3-dimensional Lorentzian $\alpha -$Sasakian manifold endowed with the quarter-symmetric metric connection which is under consideration is an $\eta -$Einstein manifold with respect to the quarter-symmetric metric connection.

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Bu Makaleye Atıf Yap

PRASAD, R., PANDEY, S., VERMA, S. K., KUMAR, S. (2019). A Study on Lorentzian $\alpha -$Sasakian Manifolds. Konuralp Journal of Mathematics, Cilt: 7 - Sayı: 2, 324–332. https://ajindex.com/articles/786490

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Kaynakça (15)

  1. A. Barman and G. Ghosh, Concircular curvature tensor of a semi-symmetric non-metric connection on P-Sasakian manifolds, An. Univ. Vest. Timis. Ser. Mat. Inform. LIV(2016), 47–58
  2. D. E. Blair, Inversion theory and conformal mapping, Stud. Math. Libr. 9, Amer. Math. Soc. (2000)
  3. U. C. De and Krishnendu De, On Lorentzian Trans-Sasakian manifolds, Cummun. Fac. Sci. Univ. Ank. Series 62 (2013) no. 2, 37􀀀51: [4] A. Friedmann and J. A. Schouten, ¨U ber die Geometric der halbsymmetrischen ¨U bertragung, Math. Z.21(1924), 211–223
  4. S. Golab, On semi􀀀symmetric and quarter􀀀symmetric linear connections, Tensor (N.S.) 29 (1975); 249􀀀254
  5. K. Matsumoto, On Lorentzian para-contact manifold, Bull Yomagata Univ. Natur. Sci. 12 no. 2 (1989) 151-156
  6. W. Kuhnel, Conformal Transformations between Einstein Spaces, Bonn, 1985/1986, 105–146, Aspects Math. E12, Vieweg, Braunschweig, 1988
  7. A.K. Mondal, U.C. De, Some properties of a quarter-symmetric metric connection on a Sasakian manifold. Bull. Math. Analysis Appl. 3 (2009), 99-108
  8. K. Mandal and U.C. De, Quarter-symmetric metric connection in a P-Sasakian manifold. An. Univ. Vest. Timis. Ser. Math-Inform. LIII(2015), 137-150
  9. O’Neill, B., Semi-Riemannian geometry with applications to relativity, Academic press (1983)
  10. C. Ozgur, f-conformally flat Lorentzian para-Sasakian manifolds. Radovi Matematicki 12 (2003), 99-106
  11. R. Prasad and A. Haseeb, On a Lorentzian para-Sasakian manifold with respect to the quarter-symmetric metric connection, Novi Sad J. Math. Vol. 46, No. 2, 2016, 103-116
  12. K. Yano, Concircular Geometry I. Concircular Transformations, Proc. Imp. Acad. Tokyo 16 (1940), 195–200
  13. K. Yano and S. Bochner, Curvature and Betti numbers, Ann. of Math. Stud. 32(1953)
  14. A. Yildiz and C. Murathan, On Lorentzian a-Sasakian manifolds. Kyungpook Math. J. 45 (2005),95-103: [16] A. Yildiz, M. Turan and B. E. Acet, On three dimensional Lorentzian a-Sasakian manifolds. Bull. Math. Anal. Appl. 1(2009), 90-98
  15. A. Yildiz, M. Turan and C. Murathan, A class of Lorentzian a-Sasakian manifolds. Kyungpook Math. J. 49 (2009),789-799.