International Journal of Mathematics and Mathematical Sciences
Volume 2005 (2005), Issue 10, Pages 1621-1632
doi:10.1155/IJMMS.2005.1621
Inequality for Ricci curvature of certain submanifolds in locally conformal almost cosymplectic manifolds
Dae Won Yoon
Department of Mathematics Education and Research Institute of Natural Science (RINS), Gyeongsang National University, 900 Gazwa-dong, Jinju 660-701, South Korea
Abstract
We establish inequalities between the Ricci curvature and the squared mean curvature, and also between the k-Ricci curvature and the scalar curvature for a slant, semi-slant, and bi-slant submanifold in a locally conformal almost cosymplectic manifold with arbitrary codimension.