Special Equations Of Hesse Manifolds And Sectional Curvature

Equivalent condition of Hesse measure and identities of Hesse mani-fold are given by H.Shima and K.Yagi in the literature [15] in1981, How-ever, the Gauss equation and Codazzi equation of Hesse manifold are not involved in the literature. This paper obtains Gauss equation and Co-dazzi equation that based on the Gauss equation and Codazzi equation of Riemann manifold, and it analyzes Hesse sectional curvature to draw the relationship between Hesse sectional curvature and Riemann curvature, simultaneously,it gives the proof.