發(fā)布時(shí)間：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... 

【文章來源】：南京理工大學(xué)江蘇省 211工程院校

【文章頁數(shù)】：43 頁

【學(xué)位級(jí)別】：碩士

【文章目錄】：
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


【參考文獻(xiàn)】：
期刊論文
[1]SLANT IMMERSIONS OF COMPLEX SPACE FORMS AND CHEN’S INEQUALITY[J]. 李光漢,吳傳喜.  Acta Mathematica Scientia. 2005(02)



本文編號(hào)：3302963