Some inequalities and applications of Simons' type formulas in Riemannian, affine and statistical geometry
Differential Geometry
2021-05-12 v1
Abstract
A 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.
Keywords
Cite
@article{arxiv.2105.04676,
title = {Some inequalities and applications of Simons' type formulas in Riemannian, affine and statistical geometry},
author = {Barbara Opozda},
journal= {arXiv preprint arXiv:2105.04676},
year = {2021}
}
Comments
23 pages