非负常仿射平均曲率的完备二维Hessian流形  

The Complete Two-dimensional Hessian Manifold of Non-negative Constant Affine Mean Curvature

作　　者：房琦贵[1] 

机构地区：[1]宁夏师范学院数学与计算机科学学院,宁夏固原756000

出　　处：《宁夏师范学院学报》2010年第3期1-4,共4页Journal of Ningxia Normal University

基　　金：宁夏自然科学基金资助项目(NZ09204)

摘　　要：设M为完备、连通、定向的二维Hessian流形,若M的仿射平均曲率为非负常数,则M等距于E2/Γ,Γ为自由,纯不连续作用在E2上的等距离散子群.Let M be a complete, connected and oriented two-dimensional Hessian manifold, suppose that the affine mean curvature of M is a non-negative constant, then the universal covering manifold M is isometric to the E2 , and M is the orbit space of a subgroup F of isometries of M which acts freely and properly discontinuously on M.

关 键 词：Hessian流形 仿射平均曲率 完备 

分 类 号：O186.13[理学—数学]