Original Article
Kyungpook Mathematical Journal 2004; 44(4): 585-592
Published online December 23, 2004
Copyright © Kyungpook Mathematical Journal.
Inequality for Totally Real Warped Products in Locally Conformal Kaehler Space Forms
Young Ho Kim1 , Dae Won Yoon2
1Department of Mathematics, College of Natural Sciences, Kyungpook National University, Daegu 702-701, Korea
2Department of Mathematics Education and RINS, Gyeongsang National University, Chinju 660-701, Korea
In this article, we establish the inequality between the warping function of a warped product submanifold isometrically immersed in a locally conformal Kaehler space form of constant holomorphic sectional curvature and the squared mean curvature. Furthermore, some applications are derived.
Keywords: warped product, mean curvature, locally conformal Kaehler space form, totally real submanifold