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 22 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. An Invariant of Riemannian Type for Legendrian Warped Product Submanifolds of Sasakian Space Forms;Mathematics;2023-11-21

2. SHARP INEQUALITIES INVOLVING THE CHEN-RICCI INEQUALITY FOR SLANT RIEMANNIAN SUBMERSIONS;B KOREAN MATH SOC;2023

3. Ricci and scalar curvature inequalities for semi-slant Riemannian submersions in complex space forms;International Journal of Geometric Methods in Modern Physics;2023-04-11

4. Pointwise semi-slant Riemannian (PSSR) maps from almost Hermitian manifolds;FILOMAT;2023

5. Chen invariants for Riemannian submersions and their applications;Communications Faculty Of Science University of Ankara Series A1Mathematics and Statistics;2022-12-30