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References [1] M.T.K. Abbassi, G. Calvaruso, D. Perrone: Harmonic sections of tangent bundles equipped with Riemannian g-natural metrics. Q. J. Math. 62 (2) (2011) 259–288. [2] R. M. Aguilar: Isotropic almost complex structures on tangent bundles. Manuscripta Math. 90 (4) (1996) 429–436. [3] I. Biswas, J. Loftin, M. Stemmler: Flat bundles on affine manifolds. Arabian Journal of Mathematics 2 (2) (2013) 159–175. [4] J. Choi, A. P. Mullhaupt: Kählerian information geometry for signal processing. Entropy 17 (2015) 1581–1605. [5] R. M. Friswell, C. M. Wood

(+ + −− ), Geometriae Dedicata 87 , 65-89, 2001. [11] Matsushita Y., The existence of indefinite metrics of signature (+ ; + ;−;− ) and two kinds of almost complex structures in dimension Four , Proceedings of The Seventh International Workshop on Complex Structures and Vector Fields, Contemporary Aspects of Complex Analysis, Differential Geometry and Mathematical Physics, ed. S. Dimiev and K. Sekigawa, World Scientific, 210-225, 2005. [12] Morgan J., Seiberg-Witten Equations And Applications To The Topology of Smooth Manifolds , Princeton University Press, 1996. [13] Moore J

Riemannian manifolds, Math. Ann , (1991), 409-428 [30] J. A. K. Suykens , Extending Newton’s law from nonlocal-in-time kinetic energy, Phys. Lett , (2009), 1201-1211 [31] S. Taniguchi , On almost complex structures on abstract Wiener spaces, Osaka J. Math , (1996), 189-206 [32] J. Vines , Geodesic deviation at higher order via covariant bitensors, Gen. Rel. Grav , (2015), 49-65 [33] K. Yano , Concircular geometry I. Concircular transformations, Proc. Imp. Acad. Jap , (1940), 195-200