Lorentz ${C}_{12}$-manifolds

Authors

  • Adel Delloum Laboratory of Quantum Physics of Matter and Mathematical Modeling (LPQ3M), University of Mascara, Algeria
  • Gherici Beldjilali Laboratory of Quantum Physics of Matter and Mathematical Modeling (LPQ3M), University of Mascara, Algeria

DOI:

https://doi.org/10.33044/revuma.4064

Abstract

The object of the present paper is to study $C_{12}$-structures on a manifold with Lorentzian metric. We focus here on Lorentzian $C_{12}$-structures, emphasizing their relationship and analogies with respect to the Riemannian case. Several interesting results are obtained. Next, we study Ricci solitons in Lorentzian $C_{12}$-manifolds.

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References

G. Beldjilali, Slant curves in 3-dimensional $C_{12}$-manifolds, Balkan J. Geom. Appl. 27 no. 2 (2022), 13–25.  MR  Zbl

G. Beldjilali, Three-dimensional ${C}_{12}$-manifolds, Rev. Un. Mat. Argentina 67 no. 1 (2024), 1–14.  DOI

B. Benaoumeur and G. Beldjilali, Ricci solitons on 3-dimensional $C_{12}$-manifolds, Balkan J. Geom. Appl. 27 no. 2 (2022), 26–36.  MR  Zbl

H. Bouzir, G. Beldjilali, and B. Bayour, On three dimensional $C_{12}$-manifolds, Mediterr. J. Math. 18 no. 6 (2021), Paper No. 239.  DOI  MR  Zbl

S. de Candia and M. Falcitelli, Curvature of $C_5 ⊕ C_{12}$-manifolds, Mediterr. J. Math. 16 no. 4 (2019), Paper No. 105.  DOI  MR  Zbl

A. M. Cherif, K. Zegga, and G. Beldjilali, On the generalised Ricci solitons and Sasakian manifolds, Commun. Math. 30 no. 1 (2022), 119–123.  DOI  MR  Zbl

D. Chinea and C. Gonzalez, A classification of almost contact metric manifolds, Ann. Mat. Pura Appl. (4) 156 (1990), 15–36.  DOI  MR  Zbl

R. S. Hamilton, Three-manifolds with positive Ricci curvature, J. Differential Geometry 17 no. 2 (1982), 255–306.  DOI  MR  Zbl

P. Nurowski and M. Randall, Generalized Ricci solitons, J. Geom. Anal. 26 no. 2 (2016), 1280–1345.  DOI  MR  Zbl

M. Okumura, Some remarks on space with a certain contact structure, Tohoku Math. J. (2) 14 (1962), 135–145.  DOI  MR  Zbl

B. O'Neill, Semi-Riemannian geometry, Pure and Applied Mathematics 103, Academic Press, New York, 1983.  MR  Zbl

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Published

2024-06-07

Issue

Vol. 67 No. 1 (2024)

Section

Article

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Copyright (c) 2024 Adel Delloum, Gherici Beldjilali

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