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Journals / International Electronic Journal of Geometry / 2019 / Cilt: 12 - Sayı: 2

Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric -connection

Sudhakar K CHAUBEY
Uday Chand DE
Pages
250–259
Publication Date
2022-10-18
DOI
—
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AI Summary & Key Takeaways

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⚡ TL;DR(Too Long; Didn't Read)

To validatethe existence of the quarter-symmetric non-metric -connection on an LP-Sasakian manifold, wegive a non-trivial example in dimension 4 and verify our results.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:We define a new type of quarter-symmetric non-metric -connection on an LP-Sasakian manifoldand prove its existence.
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Key Findings & Data:We provide its application in the general theory of relativity.
💡
Conclusion & Impact:To validatethe existence of the quarter-symmetric non-metric -connection on an LP-Sasakian manifold, wegive a non-trivial example in dimension 4 and verify our results.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

We define a new type of quarter-symmetric non-metric -connection on an LP-Sasakian manifoldand prove its existence. We provide its application in the general theory of relativity. To validatethe existence of the quarter-symmetric non-metric -connection on an LP-Sasakian manifold, wegive a non-trivial example in dimension 4 and verify our results.

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Cite This Article

CHAUBEY, S. K., DE, U. C. (2022). Lorentzian para-Sasakian Manifolds Admitting a New Type of Quarter-symmetric Non-metric -connection. International Electronic Journal of Geometry, Cilt: 12 - Sayı: 2, 250–259. https://ajindex.com/articles/539639

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References (18)

  1. Arslan, K., Deszcz, R., Ezentas, R., Hotlos, M. and Murathan, C., On generalized Robertson-Walker spacetimes satisfying some curvature condition. Turk J Math 38 (2014), 353-373
  2. Aqeel, A. A., De, U. C. and Ghosh, G. C., On Lorentzian para-Sasakian manifolds. Kuwait J. Sci. Eng. 31 (2004), no. 2, 1-13
  3. Barman, A., Weakly symmetric and weakly Ricci-symmetric LP-Sasakian manifolds admitting a quarter-symmetric metric connection. Novi Sad J. Math. 45 (2015), no. 2, 143-153
  4. Cartan, E., Sur une classe remarquable d’espaces de Riemannian. Bull. Soc. Math. France 54 (1926), 214-264
  5. Chaubey, S. K. and Ojha, R. H., On semi-symmetric non-metric and quarter-symmetric metric connections. Tensor N. S. 70 (2008), no. 2, 202-213
  6. Chaubey, S. K., Lee, J.W. and Yadav, S., Riemannian manifolds with a semi-symmetric metric P-connection. J. Korean Math. Soc. 56 (2019), no. 4, 1113-1129
  7. De, U. C., Matsumoto, K. and Shaikh, A. A., On Lorentzian para-Sasakian manifolds. Rendiconti del Seminario Mat. de Messina 3 (1999), 149-156
  8. De, U. C., Velimirovic, L. and Mallick, S., On a type of spacetime. International Journal of Geometric Methods in Modern Physics 14 (2017), no. 1, 1750003 (9 pages)
  9. Demirbag, S. A., Yilmaz, H. B., Uysal, S. A. and Zengin, F. O:, On quasi Einstein manifolds admitting a Ricci quarter-symmetric metric connection. Bull. of Math. Anal. and Appl. 3 (2011), no. 4, 84-91
  10. Ellis, G. F. R., Relativistic Cosmology in ’General Relativity and Cosmology’, ed. R. K. Sachs, Academic Press, London, 1971
  11. Eriksson, I. and Senovilla, J. M. M., Note on (conformally) semi-symmetric spacetimes. Class. Quantum Grav. 27 (2010), 027001
  12. Friedmann, A. and Schouten, J. A., Uber die Geometry der halbsymmetrischen Ubertragung. Math Zeitschr 21 (1924), 211-223
  13. Golab, S., On semi-symmetric and quarter-symmetric linear connections. Tensor N. S. 29 (1975), 249-254
  14. Guler, S. and Demirbag, S. A., A study of generalized quasi Einstein spacetimes with applications in general relativity. Int J Theor Phys 55 (2016), 548–562
  15. Hayden, H. A., Subspace of space with torsion. Proc. London Math. Soc. 34 (1932), 27-50
  16. Mantica, C. A., De, U. C., Suh, Y. J. and Molinari, L. G., Perfect fluid spacetimes with harmonic generalized curvature tensor. Osaka J. Math. 56 (2019), 173-182
  17. Matsumoto, K., On Lorentzian para-contact manifolds. Bull. Yamagata Univ. Nat. Sci. 12 (1989), 151-156
  18. Matsumoto, K. and Mihai, I.