Research On Totally Real Submanifolds In A (Quasi) Complex Projective Space

This paper consists of four chapters. In this paper we discuss some real submani-folds in a complex projective space and a quasi complex projective space and obtain seriesof results.In the first part,we discuss the totally real minimal submanifolds in a complexprojective space CP n and obtain a pinching theorem on the square of second fundamentalform,and reform the result of Chen.BY.etc.In the second chapter, we study on a complexprojective space real hypersurfaces with constant scalar curvature and obtain a theoremand a conclusion.In the third chapter ,we study the totally real minimal submanifolds inthe quasi-constant holomorphic sectional curvature space and obtain an integral inequalityand a corallary.In the last chapter ,we discuss constant mean curvature submanifolds inthe quasi-constant holomorphic sectional curvature space and get an integral inequality,furthermore, we get a corallary on totally geodeosic.