On Chen invariants and inequalities in quaternionic geometry-Reference-Cited by-同舟云学术

On Chen invariants and inequalities in quaternionic geometry

Published:2013-02-22 Issue:1 Volume:2013 Page:
ISSN:1029-242X
Container-title:Journal of Inequalities and Applications
language:en
Short-container-title:J Inequal Appl

Author:

Vîlcu Gabriel-Eduard

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Discrete Mathematics and Combinatorics,Analysis

Link

http://link.springer.com/content/pdf/10.1186/1029-242X-2013-66.pdf

Reference67 articles.

1. Chen B-Y: Some pinching and classification theorems for minimal submanifolds. Arch. Math. 1993, 60: 568–578. 10.1007/BF01236084

2. Chern SS: Minimal Submanifolds in a Riemannian Manifold. University of Kansas Press, Lawrence; 1968.

3. Suceavă B, Vâjiac M: Remarks on Chen’s fundamental inequality with classical curvature invariants in Riemannian spaces. An. Ştiint. Univ. Al. I. Cuza Iaşi. Mat. 2008, 54(1):27–37.

4. Chen B-Y: Relations between Ricci curvature and shape operator for submanifolds with arbitrary codimensions. Glasg. Math. J. 1999, 41: 33–41. 10.1017/S0017089599970271

5. Chen B-Y: A general inequality for submanifolds in complex-space-forms and its applications. Arch. Math. 1996, 67(6):519–528. 10.1007/BF01270616

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Analyzing the Ricci Tensor for Slant Submanifolds in Locally Metallic Product Space Forms with a Semi-Symmetric Metric Connection;Axioms;2024-07-04

2. Chen inequality for general warped product submanifold of Riemannian warped products I×fSm(c);Physica Scripta;2024-03-14

3. Chen–Ricci Inequality for Isotropic Submanifolds in Locally Metallic Product Space Forms;Axioms;2024-03-11

4. Ricci tensor of slant submanifolds in locally metallic product space forms;FILOMAT;2024

5. Some bounds for Casorati curvatures on Golden Riemannian space forms with SSM connection;HACET J MATH STAT;2024