Chen Inequalities for Submanifolds of Real Space Forms with a Semi-Symmetric Non-Metric Connection

Canadian mathematical bulletin

Cihan Özgür¹  Adela Mihai² 

[1] Balıkesir University, Department of Mathematics, 10145, Çağış, Balıkesir, Turkey;University of Bucharest, Faculty of Mathematics and Computer Science, Department of Mathematics, Academiei 14, 010014 Bucharest, Romania

关键词: real space form;    semi-symmetric non-metric connection;    Ricci curvature;   

DOI  :  10.4153/CMB-2011-108-1

学科分类：数学（综合）

来源: University of Toronto Press * Journals Division

【 摘 要 】

In this paper we prove Chen inequalities for submanifolds of real spaceforms endowed with a semi-symmetric non-metric connection, i.e., relationsbetween the mean curvature associated with a semi-symmetric non-metricconnection, scalar and sectional curvatures, Ricci curvatures and thesectional curvature of the ambient space. The equality cases are considered.

【 授权许可】

Unknown