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K\"ahler submanifolds with lower bounded totally real bisectional curvature tensor II

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Abstract

In this paper, we prove that if every totally real bisectionalcurvature of an n(geqq 3)-dimensional complete K"ahlersubmanifold of a complex projective space of constant holomorphicsectional curvature c is greater than frac{c}{6n(n+1)}(3n^2 + 2n-2),then it is totally geodesic and compact.

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