Murat Altunbaş Department of Mathematics, Erzincan Binali Yıldırım University, Yalnızbağ Campus, Erzincan, Turkey

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Let (M, [g]) be a Weyl manifold and TM be its tangent bundle equipped with Riemannian g−natural metrics which are linear combinations of Sasaki, horizontal and vertical lifts of the base metric with constant coefficients. The aim of this paper is to construct a Weyl structure on TM and to show that TM cannot be Einstein-Weyl even if (M, g) is fiat.

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    Abbassi, M. T. K. g-natural metrics: New horizons in the geometry of tangent bundles of Riemannian manifolds. Note di Matematica 28 (2009), 635.

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    Abbassi, M. T. K., and Sarih, M. On Riemannian g-natural metrics of the form agS+bgH+cgV on the tangent bundle of a Riemannian manifold (M,g). Mediterranean Journal of Mathematics 1 (2005), 1943.

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    Abbassi, M. T. K., and Sarih, M. On some hereditary properties of Riemannian g-natural metrics on tangent bundles of Riemannian manifolds. Differential Geometry and Its Applications 22, 1 (2005), 1947.

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    Bejan, C. L., and Gul, I. Sasaki metric on the tangent bundle of a Weyl manifold. Publications de l’Institut Mathématique (N.S) 103 (117) (2018), 2532.

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    Bejan, C. L., Meric, E. S., and Kilic, E. Gradient Weyl Ricci soliton. Turkish Journal of Mathematics 44 (2020), 11371145.

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    Calderbank, D. M. J., and Pedersen, H. Einstein-Weyl geometry. Surveys in Di_erential Geometry 6 (2001), 387423.

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    Higa, T. Weyl manifolds and Einstein-Weyl manifolds. Commentari Mathematici Universitatis Sancti Pauli 42, 2 (1993), 143160.

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    Kowalski, O., and Sekizawa, M. Natural transformations of Riemannian metrics on manifolds to metrics on tangent bundles. Bulletin of Tokyo Gakugei University 40 (1988), 129.

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    Pedersen, H., and Tod, K. P. Three dimensional Einstein-Weyl geometry. Advances in Mathematics 97 (1993), 74109.

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    Scholz, E. The unexpected resurgence of Weyl geometry in late 20th-century physics. In Beyond Einstein, D. E. Rowe, Ed. Birkhauser, Basel, 2018, pp. 261360.

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    Yano, K., and Ishihara, S. Tangent and cotangent bundles. Marcel Dekker Inc, New York, 1973.

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Editor in Chief: László TÓTH (University of Pécs)

Honorary Editors in Chief:

  • † István GYŐRI (University of Pannonia, Veszprém, Hungary)
  • János PINTZ (Rényi Institute of Mathematics, Budapest, Hungary)
  • Ferenc SCHIPP (Eötvös Loránd University, Budapest, Hungary and University of Pécs, Pécs, Hungary)
  • Sándor SZABÓ (University of Pécs, Pécs, Hungary)

Deputy Editors in Chief:

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  • Ferenc HARTUNG (University of Pannonia, Veszprém, Hungary)
  • Ferenc WEISZ (Eötvös Loránd University, Budapest, Hungary)

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  • Attila BÉRCZES (University of Debrecen, Debrecen, Hungary)
  • István BERKES (Rényi Institute of Mathematics, Budapest, Hungary)
  • Károly BEZDEK (University of Calgary, Calgary, Canada)
  • György DÓSA (University of Pannonia, Veszprém, Hungary)
  • Balázs KIRÁLY – Managing Editor (University of Pécs, Pécs, Hungary)
  • Vedran KRCADINAC (University of Zagreb, Zagreb, Croatia) 
  • Željka MILIN ŠIPUŠ (University of Zagreb, Zagreb, Croatia)
  • Gábor NYUL (University of Debrecen, Debrecen, Hungary)
  • Margit PAP (University of Pécs, Pécs, Hungary)
  • István PINK (University of Debrecen, Debrecen, Hungary)
  • Mihály PITUK (University of Pannonia, Veszprém, Hungary)
  • Lukas SPIEGELHOFER (Montanuniversität Leoben, Leoben, Austria)
  • Andrea ŠVOB (University of Rijeka, Rijeka, Croatia)
  • Csaba SZÁNTÓ (Babeş-Bolyai University, Cluj-Napoca, Romania)
  • Jörg THUSWALDNER (Montanuniversität Leoben, Leoben, Austria)
  • Zsolt TUZA (University of Pannonia, Veszprém, Hungary)

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  • György GÁT (University of Debrecen, Debrecen, Hungary)

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