Totally Real Statistical Submanifolds
Copyright policy )Totally Real Statistical Submanifolds
Summary: We prove that a semi-parallel totally real statistical submanifold with some natural conditions is totally geodesic if it is of non zero constant curvature, which is corresponding to the Kassabov theorem in the submanifold theory of Kähler manifolds. Moreover, we construct four dimensional holomorphic statistical manifolds using \(g\)-natural metrics (cf. [\textit{M. T. K. Abbassi} and \textit{M. Sarih}, Differ. Geom. Appl. 22, No. 1, 19--47 (2005; Zbl 1068.53016)]).
- Hokkaido University Japan
- Hokkaido Bunkyo University Japan
holomorphic statistical manifolds, Local submanifolds, Local Riemannian geometry, semi-parallel submanifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Differential geometric aspects of statistical manifolds and information geometry, totally real submanifolds
holomorphic statistical manifolds, Local submanifolds, Local Riemannian geometry, semi-parallel submanifolds, General geometric structures on manifolds (almost complex, almost product structures, etc.), Differential geometric aspects of statistical manifolds and information geometry, totally real submanifolds
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