Abstract
AbstractA few formulas and theorems for statistical structures are proved. They deal with various curvatures as well as with metric properties of the cubic form or its covariant derivative. Some of them generalize formulas and theorems known in the case of Lagrangian submanifolds or affine hypersurfaces.
Publisher
Springer Science and Business Media LLC
Reference18 articles.
1. Calabi, E.: Complete affine hypersurfaces I. Symp. Math. 10, 19–38 (1972)
2. Chen, B.Y., Ogiue, K.: On totally rela submanifolds. Trans. Am. Math. Soc. 193, 257–266 (1974)
3. Chen, B.Y.: On Ricci curvature of isotropic and Lagrangian submanifolds in complex space forms. Arch. Math. (Basel) 74, 154–160 (2000)
4. Chen, B.Y.: Riemannian geometry of Lagrangian submanifolds. Taiwan. J. Math. 5, 681–723 (2001)
5. Dillen, F., Nomizu, K., Vrancken, L.: Conjugate connections and Radon’s theorem in affine differential geometry. Monatsh. Math. 109, 221–235 (1990)
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