Chen’s Inequalities in A （κ,μ）-contact Space Form

发布时间：2021-07-25 23:13

　　To find the simple relationship between the extrinsic and intrinsic invariants of submanifold is one of the basic problems in submanifold theory.B.-Y.Chen established inequalities in this respect,called Chen inequalities.The main intrinsic invariants include Chen’s δ-invariant,scalar curvature,Ricci curvature,K-Ricci curvature and so on.The main extrinsic invariants are squared mean curvature and shape operator.Chen inequalities include Chen’s first inequality,Chen’s Ricci inequalities and so on... 

【文章来源】：南京理工大学江苏省 211工程院校

【文章页数】：43 页

【学位级别】：硕士

【文章目录】：
Abstract
Chapter 1 Introduction
    1.1 Riemannian Manifolds
    1.2 Symmetric connection
    1.3 Semi-Symmetric connection
    1.4 Semi-Symmetric metric connection
    1.5 Semi-Symmetric non-metric connection
    1.6 Chen's first inequality
Chapter 2 Preliminaries
Chapter 3 Main works
    3.1 Inequalities with respect to Semi-Symmetric metric connection
        3.1.1 Chen first inequality
        3.1.2 Ricci and k-Ricci curvature
    3.2 Inequalities for Semi-Symmetric Non-mctric connection
        3.2.1 Chen's first inequality
        3.2.2 Ricci curvature and k-Ricci Curvatures
Acknowledgements
Bibliography


【参考文献】：
期刊论文
[1]SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN’S INEQUALITY[J]. 李光汉,吴传喜.  Acta Mathematica Scientia. 2005(02)



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