Hesse Manifold’s Sectional Curvature and Conformal Transfor Mation
|School||Shanxi Normal University|
|Keywords||Hesse manifold Hesse measurement Sectional curvature Conformal transformation|
In the thesis, the properties of Hesse structure and Hesse sectional curvature were investigated based on the definition of Hesse manifold. We derived the relationship between the quantity curvature and the Ric cur-vature on the completely geodesic immersed submanifolds of the Hesse manifold. Then we demonstrated the necessary and sufficient conditions that the sectional curvature of Hesse manifold is a constant value, which was further verified by examplesIn the end, the conformal transformation of Hesse manifold was de-rived from the definition, and some new conclusions were drawn.