2013/02/13 by Chol-Rim Min, Min, Chol-Rim, Won-Hak Ri +3
Computer Science · Mathematics · Physics and Astronomy · #53A15(Primary) #53B05 #53C44(secondary) #Differential Geometry (math.DG) #Dynamical Systems (math.DS) #FOS: Computer and information sciences #FOS: Mathematics #FOS: Physical sciences #Information Theory (cs.IT) #Mathematical Physics (math-ph) #cs.IT #math-ph #math.DG #math.DS #math.IT #math.MP #msc:53B05
paper · pdf · doi:10.48550/arxiv.1302.3167
7 pages
arxiv created 2013/02/13 · arxiv updated 2013/03/22
A condition for a statistical manifold to have an equiaffine structure is studied. The facts that dual flatness and conjugate symmetry of a statistical manifold are sufficient conditions for a statistical manifold to have an equiaffine structure were obtained in [2] and [3]. In this paper, a fact that a statistical manifold, which is conjugate Ricci-symmetric, has an equiaffine structure is given, where conjugate Ricci-symmetry is weaker condition than conjugate symmetry. A condition for conjugate symmetry and conjugate Ricci-symmetry to coincide is also given.