참고문헌
- I. Agricola, The srni lectures on non-integrable geometries with torsion, Proceedings of the 26th Winter School, Geometry and Physics 2006.
- S. Amari, Information Geometry and Its Applications, Applied Mathematical Sciences. Springer Japan (2016).
- A.M.Blaga, A. Nannicini, Conformal-projective transformations on statistical and semi-Weyl manifolds with torsion arXiv.2209.00689vl, (2022)
- O.Calin, C. Udriste, Geometric Modeling in Probability and Statistics, Springer (2013)
- E. Cartan, Sur les varietes a connexion affine et la theorie de la relativite generalisee, Ann. Ec. Norm. Sup. 42 (1925), 17-88, English transl. by Magnon and A. Ashtekar, On manifolds with an affine conneciton and the theory of general relativity, Napoli: Bibliopolis (1986). https://doi.org/10.24033/asens.761
- G.B.Folland, Weyl Manifolds, J. Diff. Geometry 4 (1970), 145-153.
- H. Kim, A note on statistical manifolds with torsion, Communi. Korean Math. Soc., 38 (2023), No. 2, 621-628.
- T. Kurose, Statistical manifolds admitting torsion. Geometry and Something. (2007), in Japanese.
- H. Matsuzoe Statistical manifolds and affine differential geometry, Advanced Studies in Pure Mathematics 57, Probabilistic Approach to Geometry (2010), 303-321.
- A. P. Norden, On pairs of conjugate parallel displacements in multidimensional spaces, In Doklady Akademii nauk SSSR, 49 (1945), 1345-1347.
- H. Nagaoka, S. Amari, Differential geometry of smooth families of probability distributions, Technical Report (METR) 82-7, Dept. of Math. Eng. and Instr. Phys. Univ. of Tokyo, (1982)
- F. Tricerri, L. Vanhecke, Homogeneous structures on Riemannian manifolds, London Math. Soc., Lecture Notes Series, 83 (1983)