Department of Mathematics, Michigan State University, East Lansing, MI 48824-1027, U. S. A.; e-mail: bychen@math.msu.edu
Abstract: We introduce a series of invariants on Kähler manifolds and prove a series of general inequalities involving these invariants for Kähler submanifolds in complex space forms. We also determine Kähler submanifolds in complex space forms which satisfy the equality cases of these inequalities.
Classification (MSC2000): 53C40, 53C42; 53C55
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