A δ Inequality for Totally Real Complete Space-like Submanifolds in Indefinite Complex Space Form
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Abstract
For totally real complete space-like submanifolds in indefinite complex space form, the problem of establishing geometric inequalities between the intrinsic invariants δ (n1, n2, …, nk) and the extrinsic invariants (square of the mean curvature) was studied. The inequalities about δ(2) and δ(n1, n2, …, nk) of time-like and space-like geodesic submanifolds in the indefinite complex space were established by algebraic inequalities and moving frame methods, and the δinequality for totally real complete space-like submanifolds in indefinite complex space form was obtained.
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