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  • Author or Editor: Young Jin Suh x
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Summary  

We introduce the notion of recurrent shape operator for a real hypersurface M in the complex two-plane Grassmannians G 2(C m +2) and give a non-existence property of real hypersurfaces in G 2(C m +2) with the recurrent shape operator.

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Abstract

We give a pinching condition for compact minimal hypersurfaces in complex two-plane Grassmannians G 2(ℂ m+2) in terms of sectional curvature and the squared norm of the shape operator.

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