TY - JOUR T1 - A New Class of Golden Riemannian Manifold AU - Beldjilali, Gherici PY - 2020 DA - January DO - 10.36890/iejg.690479 JF - International Electronic Journal of Geometry JO - Int. Electron. J. Geom. PB - Kazım İlarslan WT - DergiPark SN - 1307-5624 SP - 1 EP - 8 VL - 13 IS - 1 LA - en AB - In this paper, we introduce a new class of almost Golden Riemannian structures and study their essential examples as well as their fundamental properties. Next, we investigate a particular type belonging to this class and we establish some basic results for Riemannian curvature tensor and the sectional curvature. Concrete examples are given. KW - Almost contact metric structure KW - almost Golden structure KW - Golden sectional curvature CR - [1] Beldjilali, G.: Induced Structures on Golden Riemannian Manifolds. Beitr Algebra Geom. 59 (4), 761-777 (2018). CR - [2] Beldjilali, G.: s-Golden manifolds, Mediterr. J. Math. (2019). https://doi.org/10.1007/s00009-019-1343-9. CR - [3] Blair, D. E.: Riemannian Geometry of Contact and Symplectic Manifolds. Progress in Mathematics, Vol. 203, Birhauser, Boston, (2002). CR - [4] Boyer, C.P., Galicki, K., Matzeu, P.: On Eta-Einstein Sasakian Geometry. Comm.Math. Phys. 262, 177-208 (2006). CR - [5] Crasmareanu, M., Hretecanu C.E.: Golden differential geometry. Chaos, Solitons & Fractals. 38, 1124-1146 (2008). CR - [6] Etayo, F., Santamaria R., Upadhyay, A.: On the Geometry of Almost Golden Riemannian Manifolds, Mediterr. J. Math. 14,14-187 (2017). doi 10.1007/s00009-017-0991-x. CR - [7] Gezer, A., Cengiz N., Salimov, A.: On integrability of Golden Riemannian structures. Turkish J.Math. 37, 693-703 (2013). CR - [8] Gezer, A., Karaman, C.: Golden-Hessian Structures. Proc. Nat. Acad. Sci. 86, 41-46 (2016). CR - [9] Hretcanu, C. E.: Submanifolds in Riemannian manifold with Golden structure. In: Workshop on Finsler Geometry and its Applications, Hungary (2007). CR - [10] Ozkan, M., Yilmaz, F.: Prolongation of Golden structures to tangent bundles of order r. Commun. Fac. Sci. Univ. Ank. Sér. A1 Math. Stat. Volume 65 (1), 35-47 (2016). CR - [11] Sahin, B., Akyol, M. A.: Golden maps between Golden Riemannian manifolds and constancy of certain maps. Math. Commun. 19, 333-342 (2014). CR - [12] Yano, K., Kon, M.: Structures on Manifolds. Series in Pure Math., Vol 3, World Sci., (1984). UR - https://doi.org/10.36890/iejg.690479 L1 - https://dergipark.org.tr/en/download/article-file/1020543 ER -