J. Korean Math. Soc. 2004; 41(5): 795-808
Printed September 1, 2004
Copyright © The Korean Mathematical Society.
Alfonso Carriazo, Young Ho Kim, and Dae Won Yoon
University of Seville, Kyungpook National University, Gyeongsang National University
In this article, we establish sharp relations between the sectional curvature and the shape operator and also between the $k$-Ricci curvature and the shape operator for a totally real submanifold in a locally conformal Kaehler space form of constant holomorphic sectional curvature with arbitrary codimension.
Keywords: mean curvature, sectional curvature, shape operator, $k$-Ricci curvature, locally conformal Kaehler space form, totally real submanifold
MSC numbers: 53B25, 53B35, 53C40
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