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Golden para-contact metric manifolds

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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.

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.

참고문헌 (9)

  1. Beldjilali Gherici, "Induced structures on Golden Riemannian manifolds", Beiträge zur Algebra und Geometrie, 2018, pp.59(4), 761~777[DOI]
  2. Beldjilali Gherici, "s-Golden Manifolds", Mediterranean Journal of Mathematics, 16(3) (2019), Springer Science and Business Media LLC[DOI]
  3. Mircea Crasmareanu, "Golden differential geometry☆", Chaos, Solitons & Fractals, 38(5), pp.1229~1238 (2008), Elsevier BV[DOI]
  4. AYDIN GEZER, "On integrability of Golden Riemannian structures", Turkish Journal of Mathematics, 37(4), pp.693~703 (2013), The Scientific and Technological Research Council of Turkey (TUBITAK-ULAKBIM) - DIGITAL COMMONS JOURNALS[DOI]
  5. I. Sato, "On a structure similar to the almost contact structure", Tensor(N. S. ), 30(3), pp.219~224 (1976)
  6. I. Sato, "On a structure similar to almost contact structures. II", Tensor(N. S. ), 31(2), pp.199~205 (1977)
  7. Vera W. de Spinadel, "The metallic means family and multifractal spectra", Nonlinear Analysis: Theory, Methods & Applications, 36(6), pp.721~745 (1999), Elsevier BV[DOI]
  8. Mukut Mani Tripathi, "Indefinite Almost Paracontact Metric Manifolds", International Journal of Mathematics and Mathematical Sciences, 2010, pp.1~19 (2010), Hindawi Limited[DOI]
  9. L. Vanhecke, "Almost contact structures and curvature tensors", Kodai Math. J, 4(1), pp.1~27 (1981)

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