A New Algebraic Inequality and Some Applications in Submanifold Theory

Mathematics

Ion Mihai¹  Radu-Ioan Mihai² 

[1] Department of Mathematics, University of Bucharest, 010014 Bucharest, Romania;Faculty of Mathematics and Computer Science, University of Bucharest, 010014 Bucharest, Romania;

关键词: Riemannian space form;    submanifold;    Chen invariants;    Chen inequalities;    statistical manifold;    statistical submanifold;   

DOI  :  10.3390/math9111175

来源: DOAJ

【 摘 要 】

We give a simple proof of the Chen inequality involving the Chen invariant $\delta (k)$ of submanifolds in Riemannian space forms. We derive Chen’s first inequality and the Chen–Ricci inequality. Additionally, we establish a corresponding inequality for statistical submanifolds.

【 授权许可】

Unknown