References
- S. A. Ali, C. Cafaro, D.-H. Kim, and S. Mancini, The effect of microscopic correlations on the information geometric complexity of Gaussian statistical models, Physica A 389 (2010), 3117-3127. https://doi.org/10.1016/j.physa.2010.03.028
- S. Amari, Differential-Geometrical Methods in Statistics, Lecture Notes in Statistics 28, Springer, New York, 1985.
- N. Ay and W. Tuschmann, Dually flat manifolds and global information geometry, Open Syst. and Information Dyn. 9 (2002), 195-200. https://doi.org/10.1023/A:1015604927654
- M. B. Kazemi Balgeshir, On submanifolds of Sasakian statistical manifolds, Bol. Soc. Paran. Mat. 40 (2022), 1-6. https://doi.org/10.5269/bspm.42402
- M. B. Kazemi Balgeshir and S. Salahvarzi, Curvatures of semi-symmetric metric connections on statistical manifolds, Commun. Korean Math. Soc. 36 (2021), no. 1, 149-164.
- D. E. Blair, Contact Manifolds in Riemannian Geometry, Lecture Notes in Mathematics 509, Springer, 1976.
- U.C. De, C. Ozgur, and A.K. Mondal, On ϕ-quasi conformally symmetric Sasakian manifolds, Indag. Mathem. N.S. 20 (2009), no. 2, 191-200. https://doi.org/10.1016/S0019-3577(09)00019-6
- A.S. Diallo and L. Todjihounde, Dualistic structures on twisted product manifolds, Global Journal of Advanced Research on Classical and Modern Geometries 4 (2015), no. 1, 35-43.
- A. Friedmann and J. A. Schouten, Uber die geometric der halbsymmetrischen Ubertragung, Math. Zs. 21 (1924), 211-223. https://doi.org/10.1007/BF01187468
- H. Furuhata, Hypersurfaces in statistical manifolds, Differential Geometry and its Applications 27 (2009), 420-429. https://doi.org/10.1016/j.difgeo.2008.10.019
- H. Furuhata, I. Hasegawa, Y. Okuyama, K. Sato, and M. H. Shahid, Sasakian statistical manifolds, Journal of Geometry and Physics 117 (2017), 179-186. https://doi.org/10.1016/j.geomphys.2017.03.010
- H. Furuhata, I. Hasegawa, Y. Okuyama, and K. Sato, Kenmotsu statistical manifolds and warped product, J. Geom. 108 (2017), 1175-1191. https://doi.org/10.1007/s00022-017-0403-1
- S. Golab, On semi-symmetric and quarter symmetric connections, Tensor N.S. 29 (1975), 249-254.
- I. S. Gomez, Notions of the ergodic hierarchy for curved statistical manifolds, Physica A 484 (2017), 117-131. https://doi.org/10.1016/j.physa.2017.05.012
- H. A. Hayden, Subspace of a space with torsion, Proc. London Math. Soc. II Series 34 1932, 27-50. https://doi.org/10.1112/plms/s2-34.1.27
- A. Kazan, Conformally-projectively flat trans-Sasakian statistical manifolds, Physica A: Statistical Mechanics and its Applications 535 (2019), 122441.
- S. Kazan and A. Kazan, Sasakian statistical manifolds with semi-symmetric metric connection, Universal Journal of Mathematics and Applications 1 (2018), no. 4, 226- 232. https://doi.org/10.32323/ujma.439013
- S. Kazan, Some characterizations of PS-statistical manifolds, Turkish Journal of Science 7 (2022), no. 2, 116-131.
- S. Kazan, Anti-invariant ξ⊥-cosymplectic-like statistical submersions, Thermal Science 26 (2022), no. 4A, 2991-3001. https://doi.org/10.2298/TSCI2204991K
- K. Kenmotsu, A class of almost contact Riemannian manifolds, Tohoku Math. J. 24 (1972), 93-103. https://doi.org/10.2748/tmj/1178241594
- T. Kurose, Dual connections and affine geometry, Math. Z. 203 (1990), 115-121. https://doi.org/10.1007/BF02570725
- H. Matsuzoe, J-I. Takeuchi, and S-I. Amari, Equiaffine structures on statistical manifolds and Bayesian statistics, Differential Geometry and its Applications 24 (2006), 567-578. https://doi.org/10.1016/j.difgeo.2006.02.003
- A. K. Mondal and U. C .De, Some properties of a quarter-symmetric metric connection on a Sasakian manifold, Bulletion of Mathematical Analysis and Applications 1 (2009), no. 3, 99-108.
- M. Noguchi, Geometry of statistical manifolds, Differential Geometry and its Applications 2 (1992), 197-222. https://doi.org/10.1016/0926-2245(92)90011-B
- J. A. Oubina, New Classes of almost Contact metric structures, Publ. Math. Debrecen 32 (1985), 187-193. https://doi.org/10.5486/PMD.1985.32.3-4.07
- C. R. Rao,Information and accuracy attainable in the estimation of statistical parameters, Bulletin of the Calcutta Mathematical Society 37 (1945), 81-91.
- S. Sasaki, On Differentiable manifolds with certain structures which are closely related to almost contact structure. I, Tohoku Mathematical Journal 12 (1960), 459-476. https://doi.org/10.2748/tmj/1178244407
- M. H. Shahid, Some results on anti-invariant submanifolds of a trans-Sasakian manifold, Bull. Malays. Math. Sci. Soc. 27 (2004), no. 2, 117-127.
- K. Takano, Statistical manifolds with almost contact structures and its statistical submersions, J. Geom. 85 (2006), 171-187. https://doi.org/10.1007/s00022-006-0052-2
- A. D. Vilcu and G. E. Vilcu, Statistical manifolds with almost quaternionic structures and quaternionic Kahler-like statistical submersions, Entropy 17 (2015), 6213-6228. https://doi.org/10.3390/e17096213
- P. W. Vos, Fundamental equations for statistical submanifolds with applications to The Bartlett correction, Ann. Inst. Statist. Math. 41 (1989), no. 3, 429-450. https://doi.org/10.1007/BF00050660
- J. Zhang, A note on curvature of α-connections of a statistical manifold, Annals of the Institute of Statistical Mathematics 59 (2007), 161-170. https://doi.org/10.1007/s10463-006-0105-1