Communications of the Korean Mathematical Society (대한수학회논문집)

Korean Mathematical Society (대한수학회)
권호 표지
DOI QR코드

DOI QR Code

GOLDEN PARA-CONTACT METRIC MANIFOLDS

  • Beldjilali, Gherici (Laboratory of Quantum Physics and Mathematical Modeling (LPQ3M) Department of Mathematics University of Mascara) ;
  • Bouzir, Habib (Laboratory of Quantum Physics and Mathematical Modeling (LPQ3M) Department of Mathematics University of Mascara)
  • Received : 2021.11.13
  • Accepted : 2022.04.22
  • Published : 2022.10.01
Download PDF
⟨ Previous Next ⟩

Abstract

The purpose of the present paper is to introduce a new class of almost para-contact metric manifolds namely, Golden para-contact metric manifolds. Then, we are particularly interested in a more special type called Golden para-Sasakian manifolds, where we will study their fundamental properties and we present many examples which justify their study.

Keywords

References

  1. G. Beldjilali, Induced structures on Golden Riemannian manifolds, Beitr. Algebra Geom. 59 (2018), no. 4, 761-777. https://doi.org/10.1007/s13366-018-0392-8
  2. G. Beldjilali, s-Golden manifolds, Mediterr. J. Math. 16 (2019), no. 56. https://doi.org/10.1007/s00009-019-1343-9
  3. M. Crasmareanu and C. E. Hret,canu, Golden differential geometry, Chaos, Solitons & Fractals 38 (2008), no. 5, 1124-1146. https://doi.org/10.1016/j.chaos.2008.04.007
  4. A. Gezer, N. Cengiz, and A. Salimov, On integrability of golden Riemannian structures, Turkish J. Math. 37 (2013), no. 4, 693-703. https://doi.org/10.3906/mat-1108-35
  5. I. Sato, On a structure similar to the almost contact structure, Tensor (N.S.) 30 (1976), no. 3, 219-224.
  6. I. Sato, On a structure similar to almost contact structures. II, Tensor (N.S.) 31 (1977), no. 2, 199-205.
  7. V. W. de Spinadel, The metallic means family and multifractal spectra, Nonlinear Anal. 36 (1999), no. 6, Ser. B: Real World Appl., 721-745. https://doi.org/10.1016/S0362-546X(98)00123-0
  8. M. M. Tripathi, E. Kili,c, S. Y. Perkta,s, and S. K. Kele,s, Indefinite almost paracontact metric manifolds, Int. J. Math. Math. Sci. 2010 (2010), Art. ID 846195, 19 pp. https://doi.org/10.1155/2010/846195
  9. L. Vanhecke and D. Janssens, Almost contact structures and curvature tensors, Kodai Math. J. 4 (1981), no. 1, 1-27. http://projecteuclid.org/euclid.kmj/1138036310